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Finding the Fourth Proportional to 240,465,160,198.80, 360,697,740,298.20 and 240,465,160,198.80

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Solution

The fourth proportional to 240,465,160,198.80, 360,697,740,298.20 and 240,465,160,198.80 is: 360,697,740,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,465,160,198.80 : 360,697,740,298.20 = 240,465,160,198.80 : x
  2. Step 2: Convert to fraction form
    240,465,160,198.80/360,697,740,298.20 = 240,465,160,198.80/x
  3. Step 3: Cross multiply
    240,465,160,198.80x = 360,697,740,298.20 × 240,465,160,198.80
  4. Step 4: Simplify right side
    240,465,160,198.80x = 86,735,239,904,151,816,110,080
  5. Step 5: Solve for x
    x = 86,735,239,904,151,816,110,080/240,465,160,198.80
  6. Step 6: Final answer
    x = 360,697,740,298.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.