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Finding the Fourth Proportional to 259,610.32, 389,272.68 and 117,288.40

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Solution

The fourth proportional to 259,610.32, 389,272.68 and 117,288.40 is: 175,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,610.32 : 389,272.68 = 117,288.40 : x
  2. Step 2: Convert to fraction form
    259,610.32/389,272.68 = 117,288.40/x
  3. Step 3: Cross multiply
    259,610.32x = 389,272.68 × 117,288.40
  4. Step 4: Simplify right side
    259,610.32x = 45,657,169,800.91
  5. Step 5: Solve for x
    x = 45,657,169,800.91/259,610.32
  6. Step 6: Final answer
    x = 175,868.08

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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.