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Finding the Fourth Proportional to 410,143.90, 615,215.85 and 410,143.90

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Solution

The fourth proportional to 410,143.90, 615,215.85 and 410,143.90 is: 615,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,143.90 : 615,215.85 = 410,143.90 : x
  2. Step 2: Convert to fraction form
    410,143.90/615,215.85 = 410,143.90/x
  3. Step 3: Cross multiply
    410,143.90x = 615,215.85 × 410,143.90
  4. Step 4: Simplify right side
    410,143.90x = 252,327,028,060.82
  5. Step 5: Solve for x
    x = 252,327,028,060.82/410,143.90
  6. Step 6: Final answer
    x = 615,215.85

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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.