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Finding the Fourth Proportional to 381,332.67, 571,645.90 and 141,312.93

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Solution

The fourth proportional to 381,332.67, 571,645.90 and 141,312.93 is: 211,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,332.67 : 571,645.90 = 141,312.93 : x
  2. Step 2: Convert to fraction form
    381,332.67/571,645.90 = 141,312.93/x
  3. Step 3: Cross multiply
    381,332.67x = 571,645.90 × 141,312.93
  4. Step 4: Simplify right side
    381,332.67x = 80,780,957,051.49
  5. Step 5: Solve for x
    x = 80,780,957,051.49/381,332.67
  6. Step 6: Final answer
    x = 211,838.54

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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.