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Finding the Fourth Proportional to 259,470.96, 389,258.95 and 109,711

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Solution

The fourth proportional to 259,470.96, 389,258.95 and 109,711 is: 164,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,470.96 : 389,258.95 = 109,711 : x
  2. Step 2: Convert to fraction form
    259,470.96/389,258.95 = 109,711/x
  3. Step 3: Cross multiply
    259,470.96x = 389,258.95 × 109,711
  4. Step 4: Simplify right side
    259,470.96x = 42,705,988,663.45
  5. Step 5: Solve for x
    x = 42,705,988,663.45/259,470.96
  6. Step 6: Final answer
    x = 164,588.70

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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.