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Finding the Fourth Proportional to 525,129.08, 724,646.22 and 310,217.72

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Solution

The fourth proportional to 525,129.08, 724,646.22 and 310,217.72 is: 428,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,129.08 : 724,646.22 = 310,217.72 : x
  2. Step 2: Convert to fraction form
    525,129.08/724,646.22 = 310,217.72/x
  3. Step 3: Cross multiply
    525,129.08x = 724,646.22 × 310,217.72
  4. Step 4: Simplify right side
    525,129.08x = 224,798,098,175.02
  5. Step 5: Solve for x
    x = 224,798,098,175.02/525,129.08
  6. Step 6: Final answer
    x = 428,081.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.