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Finding the Fourth Proportional to 493,680.78, 740,445.53 and 156,677.75

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Solution

The fourth proportional to 493,680.78, 740,445.53 and 156,677.75 is: 234,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,680.78 : 740,445.53 = 156,677.75 : x
  2. Step 2: Convert to fraction form
    493,680.78/740,445.53 = 156,677.75/x
  3. Step 3: Cross multiply
    493,680.78x = 740,445.53 × 156,677.75
  4. Step 4: Simplify right side
    493,680.78x = 116,011,339,637.96
  5. Step 5: Solve for x
    x = 116,011,339,637.96/493,680.78
  6. Step 6: Final answer
    x = 234,992.62

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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.