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Finding the Fourth Proportional to 410,765.98, 615,598.20 and 319,691.36

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Solution

The fourth proportional to 410,765.98, 615,598.20 and 319,691.36 is: 479,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,765.98 : 615,598.20 = 319,691.36 : x
  2. Step 2: Convert to fraction form
    410,765.98/615,598.20 = 319,691.36/x
  3. Step 3: Cross multiply
    410,765.98x = 615,598.20 × 319,691.36
  4. Step 4: Simplify right side
    410,765.98x = 196,801,425,771.55
  5. Step 5: Solve for x
    x = 196,801,425,771.55/410,765.98
  6. Step 6: Final answer
    x = 479,108.39

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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.