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Finding the Fourth Proportional to 509,814.80, 764,722.20 and 433,707.20

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Solution

The fourth proportional to 509,814.80, 764,722.20 and 433,707.20 is: 650,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814.80 : 764,722.20 = 433,707.20 : x
  2. Step 2: Convert to fraction form
    509,814.80/764,722.20 = 433,707.20/x
  3. Step 3: Cross multiply
    509,814.80x = 764,722.20 × 433,707.20
  4. Step 4: Simplify right side
    509,814.80x = 331,665,524,139.84
  5. Step 5: Solve for x
    x = 331,665,524,139.84/509,814.80
  6. Step 6: Final answer
    x = 650,560.80

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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.