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Finding the Fourth Proportional to 434,080.40, 649,954.20 and 434,080.40

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Solution

The fourth proportional to 434,080.40, 649,954.20 and 434,080.40 is: 649,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,080.40 : 649,954.20 = 434,080.40 : x
  2. Step 2: Convert to fraction form
    434,080.40/649,954.20 = 434,080.40/x
  3. Step 3: Cross multiply
    434,080.40x = 649,954.20 × 434,080.40
  4. Step 4: Simplify right side
    434,080.40x = 282,132,379,117.68
  5. Step 5: Solve for x
    x = 282,132,379,117.68/434,080.40
  6. Step 6: Final answer
    x = 649,954.20

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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.