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Finding the Fourth Proportional to 391,902.12, 586,856.07 and 258,377.27

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Solution

The fourth proportional to 391,902.12, 586,856.07 and 258,377.27 is: 386,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,902.12 : 586,856.07 = 258,377.27 : x
  2. Step 2: Convert to fraction form
    391,902.12/586,856.07 = 258,377.27/x
  3. Step 3: Cross multiply
    391,902.12x = 586,856.07 × 258,377.27
  4. Step 4: Simplify right side
    391,902.12x = 151,630,266,315.25
  5. Step 5: Solve for x
    x = 151,630,266,315.25/391,902.12
  6. Step 6: Final answer
    x = 386,908.51

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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.