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Finding the Fourth Proportional to 278,411.52, 417,616.80 and 100,918.08

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Solution

The fourth proportional to 278,411.52, 417,616.80 and 100,918.08 is: 151,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,411.52 : 417,616.80 = 100,918.08 : x
  2. Step 2: Convert to fraction form
    278,411.52/417,616.80 = 100,918.08/x
  3. Step 3: Cross multiply
    278,411.52x = 417,616.80 × 100,918.08
  4. Step 4: Simplify right side
    278,411.52x = 42,145,085,631.74
  5. Step 5: Solve for x
    x = 42,145,085,631.74/278,411.52
  6. Step 6: Final answer
    x = 151,376.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.