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Finding the Fourth Proportional to 497,212.80, 745,819.20 and 217,276.80

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Solution

The fourth proportional to 497,212.80, 745,819.20 and 217,276.80 is: 325,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,212.80 : 745,819.20 = 217,276.80 : x
  2. Step 2: Convert to fraction form
    497,212.80/745,819.20 = 217,276.80/x
  3. Step 3: Cross multiply
    497,212.80x = 745,819.20 × 217,276.80
  4. Step 4: Simplify right side
    497,212.80x = 162,049,209,154.56
  5. Step 5: Solve for x
    x = 162,049,209,154.56/497,212.80
  6. Step 6: Final answer
    x = 325,915.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.