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Finding the Fourth Proportional to 506,375.56, 758,862.78 and 431,103.88

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Solution

The fourth proportional to 506,375.56, 758,862.78 and 431,103.88 is: 646,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,375.56 : 758,862.78 = 431,103.88 : x
  2. Step 2: Convert to fraction form
    506,375.56/758,862.78 = 431,103.88/x
  3. Step 3: Cross multiply
    506,375.56x = 758,862.78 × 431,103.88
  4. Step 4: Simplify right side
    506,375.56x = 327,148,688,845.59
  5. Step 5: Solve for x
    x = 327,148,688,845.59/506,375.56
  6. Step 6: Final answer
    x = 646,059.40

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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.