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Finding the Fourth Proportional to 391,905.24, 586,860.76 and 258,380.40

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Solution

The fourth proportional to 391,905.24, 586,860.76 and 258,380.40 is: 386,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,905.24 : 586,860.76 = 258,380.40 : x
  2. Step 2: Convert to fraction form
    391,905.24/586,860.76 = 258,380.40/x
  3. Step 3: Cross multiply
    391,905.24x = 586,860.76 × 258,380.40
  4. Step 4: Simplify right side
    391,905.24x = 151,633,317,913.10
  5. Step 5: Solve for x
    x = 151,633,317,913.10/391,905.24
  6. Step 6: Final answer
    x = 386,913.22

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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.