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Finding the Fourth Proportional to 456,233.20, 683,572.20 and 389,359.60

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Solution

The fourth proportional to 456,233.20, 683,572.20 and 389,359.60 is: 583,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,233.20 : 683,572.20 = 389,359.60 : x
  2. Step 2: Convert to fraction form
    456,233.20/683,572.20 = 389,359.60/x
  3. Step 3: Cross multiply
    456,233.20x = 683,572.20 × 389,359.60
  4. Step 4: Simplify right side
    456,233.20x = 266,155,398,363.12
  5. Step 5: Solve for x
    x = 266,155,398,363.12/456,233.20
  6. Step 6: Final answer
    x = 583,375.78

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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.