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Finding the Fourth Proportional to 278,909.09, 384,894.59 and 151,584.68

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Solution

The fourth proportional to 278,909.09, 384,894.59 and 151,584.68 is: 209,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,909.09 : 384,894.59 = 151,584.68 : x
  2. Step 2: Convert to fraction form
    278,909.09/384,894.59 = 151,584.68/x
  3. Step 3: Cross multiply
    278,909.09x = 384,894.59 × 151,584.68
  4. Step 4: Simplify right side
    278,909.09x = 58,344,123,463.19
  5. Step 5: Solve for x
    x = 58,344,123,463.19/278,909.09
  6. Step 6: Final answer
    x = 209,186.89

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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.