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Finding the Fourth Proportional to 387,275, 580,071.20 and 187,175.76

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Solution

The fourth proportional to 387,275, 580,071.20 and 187,175.76 is: 280,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,275 : 580,071.20 = 187,175.76 : x
  2. Step 2: Convert to fraction form
    387,275/580,071.20 = 187,175.76/x
  3. Step 3: Cross multiply
    387,275x = 580,071.20 × 187,175.76
  4. Step 4: Simplify right side
    387,275x = 108,575,267,714.11
  5. Step 5: Solve for x
    x = 108,575,267,714.11/387,275
  6. Step 6: Final answer
    x = 280,357.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.