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Finding the Fourth Proportional to 494,773.83, 742,209.35 and 139,790.61

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Solution

The fourth proportional to 494,773.83, 742,209.35 and 139,790.61 is: 209,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,773.83 : 742,209.35 = 139,790.61 : x
  2. Step 2: Convert to fraction form
    494,773.83/742,209.35 = 139,790.61/x
  3. Step 3: Cross multiply
    494,773.83x = 742,209.35 × 139,790.61
  4. Step 4: Simplify right side
    494,773.83x = 103,753,897,085.25
  5. Step 5: Solve for x
    x = 103,753,897,085.25/494,773.83
  6. Step 6: Final answer
    x = 209,699.65

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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.