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Finding the Fourth Proportional to 542,813.90, 749,813.64 and 417,061.40

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Solution

The fourth proportional to 542,813.90, 749,813.64 and 417,061.40 is: 576,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,813.90 : 749,813.64 = 417,061.40 : x
  2. Step 2: Convert to fraction form
    542,813.90/749,813.64 = 417,061.40/x
  3. Step 3: Cross multiply
    542,813.90x = 749,813.64 × 417,061.40
  4. Step 4: Simplify right side
    542,813.90x = 312,718,326,437.50
  5. Step 5: Solve for x
    x = 312,718,326,437.50/542,813.90
  6. Step 6: Final answer
    x = 576,105.97

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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.