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Finding the Fourth Proportional to 542,813.40, 749,812.95 and 417,060.90

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Solution

The fourth proportional to 542,813.40, 749,812.95 and 417,060.90 is: 576,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,813.40 : 749,812.95 = 417,060.90 : x
  2. Step 2: Convert to fraction form
    542,813.40/749,812.95 = 417,060.90/x
  3. Step 3: Cross multiply
    542,813.40x = 749,812.95 × 417,060.90
  4. Step 4: Simplify right side
    542,813.40x = 312,717,663,758.66
  5. Step 5: Solve for x
    x = 312,717,663,758.66/542,813.40
  6. Step 6: Final answer
    x = 576,105.28

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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.