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Finding the Fourth Proportional to 375,264.87, 517,864.83 and 203,182.80

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Solution

The fourth proportional to 375,264.87, 517,864.83 and 203,182.80 is: 280,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,264.87 : 517,864.83 = 203,182.80 : x
  2. Step 2: Convert to fraction form
    375,264.87/517,864.83 = 203,182.80/x
  3. Step 3: Cross multiply
    375,264.87x = 517,864.83 × 203,182.80
  4. Step 4: Simplify right side
    375,264.87x = 105,221,226,180.92
  5. Step 5: Solve for x
    x = 105,221,226,180.92/375,264.87
  6. Step 6: Final answer
    x = 280,391.89

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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.