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Finding the Fourth Proportional to 283,531.80, 424,641.60 and 194,302.20

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Solution

The fourth proportional to 283,531.80, 424,641.60 and 194,302.20 is: 291,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,531.80 : 424,641.60 = 194,302.20 : x
  2. Step 2: Convert to fraction form
    283,531.80/424,641.60 = 194,302.20/x
  3. Step 3: Cross multiply
    283,531.80x = 424,641.60 × 194,302.20
  4. Step 4: Simplify right side
    283,531.80x = 82,508,797,091.52
  5. Step 5: Solve for x
    x = 82,508,797,091.52/283,531.80
  6. Step 6: Final answer
    x = 291,003.68

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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.