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Finding the Fourth Proportional to 278,999.92, 384,488.97 and 202,386.88

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Solution

The fourth proportional to 278,999.92, 384,488.97 and 202,386.88 is: 278,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,999.92 : 384,488.97 = 202,386.88 : x
  2. Step 2: Convert to fraction form
    278,999.92/384,488.97 = 202,386.88/x
  3. Step 3: Cross multiply
    278,999.92x = 384,488.97 × 202,386.88
  4. Step 4: Simplify right side
    278,999.92x = 77,815,523,032.71
  5. Step 5: Solve for x
    x = 77,815,523,032.71/278,999.92
  6. Step 6: Final answer
    x = 278,908.76

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1.5x scale

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.