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Finding the Fourth Proportional to 542,448.30, 813,672.45 and 519,411.90

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Solution

The fourth proportional to 542,448.30, 813,672.45 and 519,411.90 is: 779,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,448.30 : 813,672.45 = 519,411.90 : x
  2. Step 2: Convert to fraction form
    542,448.30/813,672.45 = 519,411.90/x
  3. Step 3: Cross multiply
    542,448.30x = 813,672.45 × 519,411.90
  4. Step 4: Simplify right side
    542,448.30x = 422,631,153,232.16
  5. Step 5: Solve for x
    x = 422,631,153,232.16/542,448.30
  6. Step 6: Final answer
    x = 779,117.85

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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.