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Finding the Fourth Proportional to 376,327.70, 564,491.55 and 305,468.90

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Solution

The fourth proportional to 376,327.70, 564,491.55 and 305,468.90 is: 458,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,327.70 : 564,491.55 = 305,468.90 : x
  2. Step 2: Convert to fraction form
    376,327.70/564,491.55 = 305,468.90/x
  3. Step 3: Cross multiply
    376,327.70x = 564,491.55 × 305,468.90
  4. Step 4: Simplify right side
    376,327.70x = 172,434,612,837.80
  5. Step 5: Solve for x
    x = 172,434,612,837.80/376,327.70
  6. Step 6: Final answer
    x = 458,203.35

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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.