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Finding the Fourth Proportional to 509,819.80, 764,729.70 and 433,712.20

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Solution

The fourth proportional to 509,819.80, 764,729.70 and 433,712.20 is: 650,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,819.80 : 764,729.70 = 433,712.20 : x
  2. Step 2: Convert to fraction form
    509,819.80/764,729.70 = 433,712.20/x
  3. Step 3: Cross multiply
    509,819.80x = 764,729.70 × 433,712.20
  4. Step 4: Simplify right side
    509,819.80x = 331,672,600,592.34
  5. Step 5: Solve for x
    x = 331,672,600,592.34/509,819.80
  6. Step 6: Final answer
    x = 650,568.30

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Similar ratio
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1.5x scale

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.