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Finding the Fourth Proportional to 338,734.64, 507,659.02 and 138,820.97

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Solution

The fourth proportional to 338,734.64, 507,659.02 and 138,820.97 is: 208,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,734.64 : 507,659.02 = 138,820.97 : x
  2. Step 2: Convert to fraction form
    338,734.64/507,659.02 = 138,820.97/x
  3. Step 3: Cross multiply
    338,734.64x = 507,659.02 × 138,820.97
  4. Step 4: Simplify right side
    338,734.64x = 70,473,714,353.25
  5. Step 5: Solve for x
    x = 70,473,714,353.25/338,734.64
  6. Step 6: Final answer
    x = 208,049.92

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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.