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Finding the Fourth Proportional to 407,713.20, 611,569.80 and 378,188.70

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Solution

The fourth proportional to 407,713.20, 611,569.80 and 378,188.70 is: 567,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.20 : 611,569.80 = 378,188.70 : x
  2. Step 2: Convert to fraction form
    407,713.20/611,569.80 = 378,188.70/x
  3. Step 3: Cross multiply
    407,713.20x = 611,569.80 × 378,188.70
  4. Step 4: Simplify right side
    407,713.20x = 231,288,787,621.26
  5. Step 5: Solve for x
    x = 231,288,787,621.26/407,713.20
  6. Step 6: Final answer
    x = 567,283.05

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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.