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Finding the Fourth Proportional to 278,722.71, 384,635.64 and 151,397.19

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Solution

The fourth proportional to 278,722.71, 384,635.64 and 151,397.19 is: 208,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,722.71 : 384,635.64 = 151,397.19 : x
  2. Step 2: Convert to fraction form
    278,722.71/384,635.64 = 151,397.19/x
  3. Step 3: Cross multiply
    278,722.71x = 384,635.64 × 151,397.19
  4. Step 4: Simplify right side
    278,722.71x = 58,232,755,069.85
  5. Step 5: Solve for x
    x = 58,232,755,069.85/278,722.71
  6. Step 6: Final answer
    x = 208,927.20

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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.