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Finding the Fourth Proportional to 453,532.80, 680,397.60 and 137,981.50

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Solution

The fourth proportional to 453,532.80, 680,397.60 and 137,981.50 is: 207,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,532.80 : 680,397.60 = 137,981.50 : x
  2. Step 2: Convert to fraction form
    453,532.80/680,397.60 = 137,981.50/x
  3. Step 3: Cross multiply
    453,532.80x = 680,397.60 × 137,981.50
  4. Step 4: Simplify right side
    453,532.80x = 93,882,281,444.40
  5. Step 5: Solve for x
    x = 93,882,281,444.40/453,532.80
  6. Step 6: Final answer
    x = 207,002.19

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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.