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Finding the Fourth Proportional to 473,432, 653,355.60 and 272,228

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Solution

The fourth proportional to 473,432, 653,355.60 and 272,228 is: 375,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,432 : 653,355.60 = 272,228 : x
  2. Step 2: Convert to fraction form
    473,432/653,355.60 = 272,228/x
  3. Step 3: Cross multiply
    473,432x = 653,355.60 × 272,228
  4. Step 4: Simplify right side
    473,432x = 177,861,688,276.80
  5. Step 5: Solve for x
    x = 177,861,688,276.80/473,432
  6. Step 6: Final answer
    x = 375,685.82

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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.