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Finding the Fourth Proportional to 418,861.12, 627,919.80 and 152,572

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Solution

The fourth proportional to 418,861.12, 627,919.80 and 152,572 is: 228,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,861.12 : 627,919.80 = 152,572 : x
  2. Step 2: Convert to fraction form
    418,861.12/627,919.80 = 152,572/x
  3. Step 3: Cross multiply
    418,861.12x = 627,919.80 × 152,572
  4. Step 4: Simplify right side
    418,861.12x = 95,802,979,725.60
  5. Step 5: Solve for x
    x = 95,802,979,725.60/418,861.12
  6. Step 6: Final answer
    x = 228,722.54

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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.