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Finding the Fourth Proportional to 484,705.20, 727,057.80 and 384,321.90

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Solution

The fourth proportional to 484,705.20, 727,057.80 and 384,321.90 is: 576,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,705.20 : 727,057.80 = 384,321.90 : x
  2. Step 2: Convert to fraction form
    484,705.20/727,057.80 = 384,321.90/x
  3. Step 3: Cross multiply
    484,705.20x = 727,057.80 × 384,321.90
  4. Step 4: Simplify right side
    484,705.20x = 279,424,235,105.82
  5. Step 5: Solve for x
    x = 279,424,235,105.82/484,705.20
  6. Step 6: Final answer
    x = 576,482.85

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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.