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Finding the Fourth Proportional to 278,471,298.30, 417,706,947.45 and 278,471,298.30

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Solution

The fourth proportional to 278,471,298.30, 417,706,947.45 and 278,471,298.30 is: 417,706,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,471,298.30 : 417,706,947.45 = 278,471,298.30 : x
  2. Step 2: Convert to fraction form
    278,471,298.30/417,706,947.45 = 278,471,298.30/x
  3. Step 3: Cross multiply
    278,471,298.30x = 417,706,947.45 × 278,471,298.30
  4. Step 4: Simplify right side
    278,471,298.30x = 116,319,395,965,331,376
  5. Step 5: Solve for x
    x = 116,319,395,965,331,376/278,471,298.30
  6. Step 6: Final answer
    x = 417,706,947.45

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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.