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Finding the Fourth Proportional to 781,404, 1,078,338.08 and 423,708

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Solution

The fourth proportional to 781,404, 1,078,338.08 and 423,708 is: 584,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,404 : 1,078,338.08 = 423,708 : x
  2. Step 2: Convert to fraction form
    781,404/1,078,338.08 = 423,708/x
  3. Step 3: Cross multiply
    781,404x = 1,078,338.08 × 423,708
  4. Step 4: Simplify right side
    781,404x = 456,900,471,200.64
  5. Step 5: Solve for x
    x = 456,900,471,200.64/781,404
  6. Step 6: Final answer
    x = 584,717.34

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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.