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Finding the Fourth Proportional to 381,551.72, 572,327.57 and 144,894.42

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Solution

The fourth proportional to 381,551.72, 572,327.57 and 144,894.42 is: 217,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,551.72 : 572,327.57 = 144,894.42 : x
  2. Step 2: Convert to fraction form
    381,551.72/572,327.57 = 144,894.42/x
  3. Step 3: Cross multiply
    381,551.72x = 572,327.57 × 144,894.42
  4. Step 4: Simplify right side
    381,551.72x = 82,927,071,667.40
  5. Step 5: Solve for x
    x = 82,927,071,667.40/381,551.72
  6. Step 6: Final answer
    x = 217,341.63

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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.