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Finding the Fourth Proportional to 408,740.40, 614,147.40 and 363,121.20

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Solution

The fourth proportional to 408,740.40, 614,147.40 and 363,121.20 is: 545,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,740.40 : 614,147.40 = 363,121.20 : x
  2. Step 2: Convert to fraction form
    408,740.40/614,147.40 = 363,121.20/x
  3. Step 3: Cross multiply
    408,740.40x = 614,147.40 × 363,121.20
  4. Step 4: Simplify right side
    408,740.40x = 223,009,940,864.88
  5. Step 5: Solve for x
    x = 223,009,940,864.88/408,740.40
  6. Step 6: Final answer
    x = 545,602.88

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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.