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Finding the Fourth Proportional to 526,407.90, 726,445.14 and 284,690.52

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Solution

The fourth proportional to 526,407.90, 726,445.14 and 284,690.52 is: 392,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,407.90 : 726,445.14 = 284,690.52 : x
  2. Step 2: Convert to fraction form
    526,407.90/726,445.14 = 284,690.52/x
  3. Step 3: Cross multiply
    526,407.90x = 726,445.14 × 284,690.52
  4. Step 4: Simplify right side
    526,407.90x = 206,812,044,658.07
  5. Step 5: Solve for x
    x = 206,812,044,658.07/526,407.90
  6. Step 6: Final answer
    x = 392,874.13

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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.