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Finding the Fourth Proportional to 385,650.92, 578,493.12 and 119,416.52

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Solution

The fourth proportional to 385,650.92, 578,493.12 and 119,416.52 is: 179,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,650.92 : 578,493.12 = 119,416.52 : x
  2. Step 2: Convert to fraction form
    385,650.92/578,493.12 = 119,416.52/x
  3. Step 3: Cross multiply
    385,650.92x = 578,493.12 × 119,416.52
  4. Step 4: Simplify right side
    385,650.92x = 69,081,635,234.34
  5. Step 5: Solve for x
    x = 69,081,635,234.34/385,650.92
  6. Step 6: Final answer
    x = 179,129.96

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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.