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Finding the Fourth Proportional to 410,780.55, 615,634.02 and 297,310.42

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Solution

The fourth proportional to 410,780.55, 615,634.02 and 297,310.42 is: 445,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,780.55 : 615,634.02 = 297,310.42 : x
  2. Step 2: Convert to fraction form
    410,780.55/615,634.02 = 297,310.42/x
  3. Step 3: Cross multiply
    410,780.55x = 615,634.02 × 297,310.42
  4. Step 4: Simplify right side
    410,780.55x = 183,034,409,052.49
  5. Step 5: Solve for x
    x = 183,034,409,052.49/410,780.55
  6. Step 6: Final answer
    x = 445,577.11

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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.