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Finding the Fourth Proportional to 338,251.47, 507,400.89 and 135,847.59

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Solution

The fourth proportional to 338,251.47, 507,400.89 and 135,847.59 is: 203,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,251.47 : 507,400.89 = 135,847.59 : x
  2. Step 2: Convert to fraction form
    338,251.47/507,400.89 = 135,847.59/x
  3. Step 3: Cross multiply
    338,251.47x = 507,400.89 × 135,847.59
  4. Step 4: Simplify right side
    338,251.47x = 68,929,186,422.32
  5. Step 5: Solve for x
    x = 68,929,186,422.32/338,251.47
  6. Step 6: Final answer
    x = 203,780.89

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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.