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Finding the Fourth Proportional to 410,497, 566,480 and 229,211.80

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Solution

The fourth proportional to 410,497, 566,480 and 229,211.80 is: 316,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,497 : 566,480 = 229,211.80 : x
  2. Step 2: Convert to fraction form
    410,497/566,480 = 229,211.80/x
  3. Step 3: Cross multiply
    410,497x = 566,480 × 229,211.80
  4. Step 4: Simplify right side
    410,497x = 129,843,900,464
  5. Step 5: Solve for x
    x = 129,843,900,464/410,497
  6. Step 6: Final answer
    x = 316,309.01

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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.