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Finding the Fourth Proportional to 420,861.55, 631,543.84 and 154,648.97

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Solution

The fourth proportional to 420,861.55, 631,543.84 and 154,648.97 is: 232,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,861.55 : 631,543.84 = 154,648.97 : x
  2. Step 2: Convert to fraction form
    420,861.55/631,543.84 = 154,648.97/x
  3. Step 3: Cross multiply
    420,861.55x = 631,543.84 × 154,648.97
  4. Step 4: Simplify right side
    420,861.55x = 97,667,604,966.01
  5. Step 5: Solve for x
    x = 97,667,604,966.01/420,861.55
  6. Step 6: Final answer
    x = 232,065.88

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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.