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Finding the Fourth Proportional to 371,761.60, 557,026.80 and 213,714.40

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Solution

The fourth proportional to 371,761.60, 557,026.80 and 213,714.40 is: 320,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,761.60 : 557,026.80 = 213,714.40 : x
  2. Step 2: Convert to fraction form
    371,761.60/557,026.80 = 213,714.40/x
  3. Step 3: Cross multiply
    371,761.60x = 557,026.80 × 213,714.40
  4. Step 4: Simplify right side
    371,761.60x = 119,044,648,345.92
  5. Step 5: Solve for x
    x = 119,044,648,345.92/371,761.60
  6. Step 6: Final answer
    x = 320,217.71

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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.