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Finding the Fourth Proportional to 278,892.91, 384,861.37 and 151,565.77

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Solution

The fourth proportional to 278,892.91, 384,861.37 and 151,565.77 is: 209,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,892.91 : 384,861.37 = 151,565.77 : x
  2. Step 2: Convert to fraction form
    278,892.91/384,861.37 = 151,565.77/x
  3. Step 3: Cross multiply
    278,892.91x = 384,861.37 × 151,565.77
  4. Step 4: Simplify right side
    278,892.91x = 58,331,808,546.24
  5. Step 5: Solve for x
    x = 58,331,808,546.24/278,892.91
  6. Step 6: Final answer
    x = 209,154.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.