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Finding the Fourth Proportional to 278,666.82, 384,564.68 and 151,342.41

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Solution

The fourth proportional to 278,666.82, 384,564.68 and 151,342.41 is: 208,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,666.82 : 384,564.68 = 151,342.41 : x
  2. Step 2: Convert to fraction form
    278,666.82/384,564.68 = 151,342.41/x
  3. Step 3: Cross multiply
    278,666.82x = 384,564.68 × 151,342.41
  4. Step 4: Simplify right side
    278,666.82x = 58,200,945,472.08
  5. Step 5: Solve for x
    x = 58,200,945,472.08/278,666.82
  6. Step 6: Final answer
    x = 208,854.95

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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.