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Finding the Fourth Proportional to 420,909.62, 580,833.59 and 229,886.10

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Solution

The fourth proportional to 420,909.62, 580,833.59 and 229,886.10 is: 317,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,909.62 : 580,833.59 = 229,886.10 : x
  2. Step 2: Convert to fraction form
    420,909.62/580,833.59 = 229,886.10/x
  3. Step 3: Cross multiply
    420,909.62x = 580,833.59 × 229,886.10
  4. Step 4: Simplify right side
    420,909.62x = 133,525,567,604.67
  5. Step 5: Solve for x
    x = 133,525,567,604.67/420,909.62
  6. Step 6: Final answer
    x = 317,230.98

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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.