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Finding the Fourth Proportional to 577,034.20, 863,996.10 and 418,403.80

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Solution

The fourth proportional to 577,034.20, 863,996.10 and 418,403.80 is: 626,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,034.20 : 863,996.10 = 418,403.80 : x
  2. Step 2: Convert to fraction form
    577,034.20/863,996.10 = 418,403.80/x
  3. Step 3: Cross multiply
    577,034.20x = 863,996.10 × 418,403.80
  4. Step 4: Simplify right side
    577,034.20x = 361,499,251,425.18
  5. Step 5: Solve for x
    x = 361,499,251,425.18/577,034.20
  6. Step 6: Final answer
    x = 626,478.03

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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.