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Finding the Fourth Proportional to 420,365, 580,101.62 and 229,377.80

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Solution

The fourth proportional to 420,365, 580,101.62 and 229,377.80 is: 316,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,365 : 580,101.62 = 229,377.80 : x
  2. Step 2: Convert to fraction form
    420,365/580,101.62 = 229,377.80/x
  3. Step 3: Cross multiply
    420,365x = 580,101.62 × 229,377.80
  4. Step 4: Simplify right side
    420,365x = 133,062,433,372.04
  5. Step 5: Solve for x
    x = 133,062,433,372.04/420,365
  6. Step 6: Final answer
    x = 316,540.23

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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.