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Finding the Fourth Proportional to 461,248.90, 691,808.55 and 145,737.70

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Solution

The fourth proportional to 461,248.90, 691,808.55 and 145,737.70 is: 218,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,248.90 : 691,808.55 = 145,737.70 : x
  2. Step 2: Convert to fraction form
    461,248.90/691,808.55 = 145,737.70/x
  3. Step 3: Cross multiply
    461,248.90x = 691,808.55 × 145,737.70
  4. Step 4: Simplify right side
    461,248.90x = 100,822,586,917.34
  5. Step 5: Solve for x
    x = 100,822,586,917.34/461,248.90
  6. Step 6: Final answer
    x = 218,586.08

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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.