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Finding the Fourth Proportional to 542,925.53, 749,327.16 and 301,285.72

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Solution

The fourth proportional to 542,925.53, 749,327.16 and 301,285.72 is: 415,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,925.53 : 749,327.16 = 301,285.72 : x
  2. Step 2: Convert to fraction form
    542,925.53/749,327.16 = 301,285.72/x
  3. Step 3: Cross multiply
    542,925.53x = 749,327.16 × 301,285.72
  4. Step 4: Simplify right side
    542,925.53x = 225,761,569,169.52
  5. Step 5: Solve for x
    x = 225,761,569,169.52/542,925.53
  6. Step 6: Final answer
    x = 415,824.19

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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.