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Finding the Fourth Proportional to 509,811.80, 764,717.70 and 433,704.20

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Solution

The fourth proportional to 509,811.80, 764,717.70 and 433,704.20 is: 650,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,811.80 : 764,717.70 = 433,704.20 : x
  2. Step 2: Convert to fraction form
    509,811.80/764,717.70 = 433,704.20/x
  3. Step 3: Cross multiply
    509,811.80x = 764,717.70 × 433,704.20
  4. Step 4: Simplify right side
    509,811.80x = 331,661,278,304.34
  5. Step 5: Solve for x
    x = 331,661,278,304.34/509,811.80
  6. Step 6: Final answer
    x = 650,556.30

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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.