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Finding the Fourth Proportional to 391,585.15, 540,377 and 230,449.69

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Solution

The fourth proportional to 391,585.15, 540,377 and 230,449.69 is: 318,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,585.15 : 540,377 = 230,449.69 : x
  2. Step 2: Convert to fraction form
    391,585.15/540,377 = 230,449.69/x
  3. Step 3: Cross multiply
    391,585.15x = 540,377 × 230,449.69
  4. Step 4: Simplify right side
    391,585.15x = 124,529,709,431.25
  5. Step 5: Solve for x
    x = 124,529,709,431.25/391,585.15
  6. Step 6: Final answer
    x = 318,014.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.