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Finding the Fourth Proportional to 781,330, 1,078,235.40 and 423,634

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Solution

The fourth proportional to 781,330, 1,078,235.40 and 423,634 is: 584,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,330 : 1,078,235.40 = 423,634 : x
  2. Step 2: Convert to fraction form
    781,330/1,078,235.40 = 423,634/x
  3. Step 3: Cross multiply
    781,330x = 1,078,235.40 × 423,634
  4. Step 4: Simplify right side
    781,330x = 456,777,175,443.60
  5. Step 5: Solve for x
    x = 456,777,175,443.60/781,330
  6. Step 6: Final answer
    x = 584,614.92

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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.