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Finding the Fourth Proportional to 381,294.80, 525,708.06 and 279,142.91

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Solution

The fourth proportional to 381,294.80, 525,708.06 and 279,142.91 is: 384,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,294.80 : 525,708.06 = 279,142.91 : x
  2. Step 2: Convert to fraction form
    381,294.80/525,708.06 = 279,142.91/x
  3. Step 3: Cross multiply
    381,294.80x = 525,708.06 × 279,142.91
  4. Step 4: Simplify right side
    381,294.80x = 146,747,678,993.13
  5. Step 5: Solve for x
    x = 146,747,678,993.13/381,294.80
  6. Step 6: Final answer
    x = 384,866.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.