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Finding the Fourth Proportional to 260,878.30, 391,266.13 and 83,337.46

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Solution

The fourth proportional to 260,878.30, 391,266.13 and 83,337.46 is: 124,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,878.30 : 391,266.13 = 83,337.46 : x
  2. Step 2: Convert to fraction form
    260,878.30/391,266.13 = 83,337.46/x
  3. Step 3: Cross multiply
    260,878.30x = 391,266.13 × 83,337.46
  4. Step 4: Simplify right side
    260,878.30x = 32,607,125,458.23
  5. Step 5: Solve for x
    x = 32,607,125,458.23/260,878.30
  6. Step 6: Final answer
    x = 124,989.80

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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.