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Finding the Fourth Proportional to 526,810.33, 726,998.20 and 285,092.90

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Solution

The fourth proportional to 526,810.33, 726,998.20 and 285,092.90 is: 393,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,810.33 : 726,998.20 = 285,092.90 : x
  2. Step 2: Convert to fraction form
    526,810.33/726,998.20 = 285,092.90/x
  3. Step 3: Cross multiply
    526,810.33x = 726,998.20 × 285,092.90
  4. Step 4: Simplify right side
    526,810.33x = 207,262,025,132.78
  5. Step 5: Solve for x
    x = 207,262,025,132.78/526,810.33
  6. Step 6: Final answer
    x = 393,428.17

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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.