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Finding the Fourth Proportional to 420,418, 580,189.08 and 229,443.60

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Solution

The fourth proportional to 420,418, 580,189.08 and 229,443.60 is: 316,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,418 : 580,189.08 = 229,443.60 : x
  2. Step 2: Convert to fraction form
    420,418/580,189.08 = 229,443.60/x
  3. Step 3: Cross multiply
    420,418x = 580,189.08 × 229,443.60
  4. Step 4: Simplify right side
    420,418x = 133,120,671,195.89
  5. Step 5: Solve for x
    x = 133,120,671,195.89/420,418
  6. Step 6: Final answer
    x = 316,638.85

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1.5x scale

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.