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Finding the Fourth Proportional to 509,820.80, 764,731.20 and 433,713.20

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Solution

The fourth proportional to 509,820.80, 764,731.20 and 433,713.20 is: 650,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,820.80 : 764,731.20 = 433,713.20 : x
  2. Step 2: Convert to fraction form
    509,820.80/764,731.20 = 433,713.20/x
  3. Step 3: Cross multiply
    509,820.80x = 764,731.20 × 433,713.20
  4. Step 4: Simplify right side
    509,820.80x = 331,674,015,891.84
  5. Step 5: Solve for x
    x = 331,674,015,891.84/509,820.80
  6. Step 6: Final answer
    x = 650,569.80

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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.