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Finding the Fourth Proportional to 286,780.32, 395,755.92 and 159,456

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Solution

The fourth proportional to 286,780.32, 395,755.92 and 159,456 is: 220,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,780.32 : 395,755.92 = 159,456 : x
  2. Step 2: Convert to fraction form
    286,780.32/395,755.92 = 159,456/x
  3. Step 3: Cross multiply
    286,780.32x = 395,755.92 × 159,456
  4. Step 4: Simplify right side
    286,780.32x = 63,105,655,979.52
  5. Step 5: Solve for x
    x = 63,105,655,979.52/286,780.32
  6. Step 6: Final answer
    x = 220,048.77

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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.