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Finding the Fourth Proportional to 240,465,160,144.05, 360,697,740,216.07 and 240,465,160,144.05

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Solution

The fourth proportional to 240,465,160,144.05, 360,697,740,216.07 and 240,465,160,144.05 is: 360,697,740,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,465,160,144.05 : 360,697,740,216.07 = 240,465,160,144.05 : x
  2. Step 2: Convert to fraction form
    240,465,160,144.05/360,697,740,216.07 = 240,465,160,144.05/x
  3. Step 3: Cross multiply
    240,465,160,144.05x = 360,697,740,216.07 × 240,465,160,144.05
  4. Step 4: Simplify right side
    240,465,160,144.05x = 86,735,239,864,654,206,337,024
  5. Step 5: Solve for x
    x = 86,735,239,864,654,206,337,024/240,465,160,144.05
  6. Step 6: Final answer
    x = 360,697,740,216.07

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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.