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Finding the Fourth Proportional to 423,280.62, 584,134.38 and 232,311.78

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Solution

The fourth proportional to 423,280.62, 584,134.38 and 232,311.78 is: 320,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,280.62 : 584,134.38 = 232,311.78 : x
  2. Step 2: Convert to fraction form
    423,280.62/584,134.38 = 232,311.78/x
  3. Step 3: Cross multiply
    423,280.62x = 584,134.38 × 232,311.78
  4. Step 4: Simplify right side
    423,280.62x = 135,701,297,577.00
  5. Step 5: Solve for x
    x = 135,701,297,577.00/423,280.62
  6. Step 6: Final answer
    x = 320,594.17

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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.