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Finding the Fourth Proportional to 431,532.40, 646,812.60 and 207,000.40

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Solution

The fourth proportional to 431,532.40, 646,812.60 and 207,000.40 is: 310,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,532.40 : 646,812.60 = 207,000.40 : x
  2. Step 2: Convert to fraction form
    431,532.40/646,812.60 = 207,000.40/x
  3. Step 3: Cross multiply
    431,532.40x = 646,812.60 × 207,000.40
  4. Step 4: Simplify right side
    431,532.40x = 133,890,466,925.04
  5. Step 5: Solve for x
    x = 133,890,466,925.04/431,532.40
  6. Step 6: Final answer
    x = 310,267.47

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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.