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Finding the Fourth Proportional to 442,876.52, 611,253.12 and 277,381.28

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Solution

The fourth proportional to 442,876.52, 611,253.12 and 277,381.28 is: 382,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,876.52 : 611,253.12 = 277,381.28 : x
  2. Step 2: Convert to fraction form
    442,876.52/611,253.12 = 277,381.28/x
  3. Step 3: Cross multiply
    442,876.52x = 611,253.12 × 277,381.28
  4. Step 4: Simplify right side
    442,876.52x = 169,550,172,829.59
  5. Step 5: Solve for x
    x = 169,550,172,829.59/442,876.52
  6. Step 6: Final answer
    x = 382,838.48

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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.