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Finding the Fourth Proportional to 410,222.70, 615,334.05 and 291,249.90

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Solution

The fourth proportional to 410,222.70, 615,334.05 and 291,249.90 is: 436,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,222.70 : 615,334.05 = 291,249.90 : x
  2. Step 2: Convert to fraction form
    410,222.70/615,334.05 = 291,249.90/x
  3. Step 3: Cross multiply
    410,222.70x = 615,334.05 × 291,249.90
  4. Step 4: Simplify right side
    410,222.70x = 179,215,980,529.10
  5. Step 5: Solve for x
    x = 179,215,980,529.10/410,222.70
  6. Step 6: Final answer
    x = 436,874.85

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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.