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Finding the Fourth Proportional to 381,864.74, 572,870.87 and 145,189.02

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Solution

The fourth proportional to 381,864.74, 572,870.87 and 145,189.02 is: 217,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,864.74 : 572,870.87 = 145,189.02 : x
  2. Step 2: Convert to fraction form
    381,864.74/572,870.87 = 145,189.02/x
  3. Step 3: Cross multiply
    381,864.74x = 572,870.87 × 145,189.02
  4. Step 4: Simplify right side
    381,864.74x = 83,174,559,475.90
  5. Step 5: Solve for x
    x = 83,174,559,475.90/381,864.74
  6. Step 6: Final answer
    x = 217,811.57

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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.