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Finding the Fourth Proportional to 493,542.32, 681,060.84 and 278,726

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Solution

The fourth proportional to 493,542.32, 681,060.84 and 278,726 is: 384,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,542.32 : 681,060.84 = 278,726 : x
  2. Step 2: Convert to fraction form
    493,542.32/681,060.84 = 278,726/x
  3. Step 3: Cross multiply
    493,542.32x = 681,060.84 × 278,726
  4. Step 4: Simplify right side
    493,542.32x = 189,829,363,689.84
  5. Step 5: Solve for x
    x = 189,829,363,689.84/493,542.32
  6. Step 6: Final answer
    x = 384,626.31

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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.