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Finding the Fourth Proportional to 391,428.54, 587,139.71 and 232,605.18

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Solution

The fourth proportional to 391,428.54, 587,139.71 and 232,605.18 is: 348,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,428.54 : 587,139.71 = 232,605.18 : x
  2. Step 2: Convert to fraction form
    391,428.54/587,139.71 = 232,605.18/x
  3. Step 3: Cross multiply
    391,428.54x = 587,139.71 × 232,605.18
  4. Step 4: Simplify right side
    391,428.54x = 136,571,736,766.67
  5. Step 5: Solve for x
    x = 136,571,736,766.67/391,428.54
  6. Step 6: Final answer
    x = 348,905.92

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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.