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Finding the Fourth Proportional to 493,886.30, 740,861.85 and 138,911.90

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Solution

The fourth proportional to 493,886.30, 740,861.85 and 138,911.90 is: 208,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,886.30 : 740,861.85 = 138,911.90 : x
  2. Step 2: Convert to fraction form
    493,886.30/740,861.85 = 138,911.90/x
  3. Step 3: Cross multiply
    493,886.30x = 740,861.85 × 138,911.90
  4. Step 4: Simplify right side
    493,886.30x = 102,914,527,221.02
  5. Step 5: Solve for x
    x = 102,914,527,221.02/493,886.30
  6. Step 6: Final answer
    x = 208,376.96

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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.