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Finding the Fourth Proportional to 420,169.50, 579,841.80 and 229,189.71

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Solution

The fourth proportional to 420,169.50, 579,841.80 and 229,189.71 is: 316,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,169.50 : 579,841.80 = 229,189.71 : x
  2. Step 2: Convert to fraction form
    420,169.50/579,841.80 = 229,189.71/x
  3. Step 3: Cross multiply
    420,169.50x = 579,841.80 × 229,189.71
  4. Step 4: Simplify right side
    420,169.50x = 132,893,773,987.88
  5. Step 5: Solve for x
    x = 132,893,773,987.88/420,169.50
  6. Step 6: Final answer
    x = 316,286.10

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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.