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Finding the Fourth Proportional to 423,438.30, 584,345.42 and 229,845.88

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Solution

The fourth proportional to 423,438.30, 584,345.42 and 229,845.88 is: 317,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,438.30 : 584,345.42 = 229,845.88 : x
  2. Step 2: Convert to fraction form
    423,438.30/584,345.42 = 229,845.88/x
  3. Step 3: Cross multiply
    423,438.30x = 584,345.42 × 229,845.88
  4. Step 4: Simplify right side
    423,438.30x = 134,309,387,726.99
  5. Step 5: Solve for x
    x = 134,309,387,726.99/423,438.30
  6. Step 6: Final answer
    x = 317,187.62

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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.