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Finding the Fourth Proportional to 259,886.40, 389,635.20 and 141,691.20

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Solution

The fourth proportional to 259,886.40, 389,635.20 and 141,691.20 is: 212,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,886.40 : 389,635.20 = 141,691.20 : x
  2. Step 2: Convert to fraction form
    259,886.40/389,635.20 = 141,691.20/x
  3. Step 3: Cross multiply
    259,886.40x = 389,635.20 × 141,691.20
  4. Step 4: Simplify right side
    259,886.40x = 55,207,879,050.24
  5. Step 5: Solve for x
    x = 55,207,879,050.24/259,886.40
  6. Step 6: Final answer
    x = 212,430.81

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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.