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Finding the Fourth Proportional to 391,258.83, 586,124.19 and 269,657.61

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Solution

The fourth proportional to 391,258.83, 586,124.19 and 269,657.61 is: 403,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,258.83 : 586,124.19 = 269,657.61 : x
  2. Step 2: Convert to fraction form
    391,258.83/586,124.19 = 269,657.61/x
  3. Step 3: Cross multiply
    391,258.83x = 586,124.19 × 269,657.61
  4. Step 4: Simplify right side
    391,258.83x = 158,052,848,238.59
  5. Step 5: Solve for x
    x = 158,052,848,238.59/391,258.83
  6. Step 6: Final answer
    x = 403,959.82

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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.