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Finding the Fourth Proportional to 391,536, 540,273.84 and 230,355.60

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Solution

The fourth proportional to 391,536, 540,273.84 and 230,355.60 is: 317,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,536 : 540,273.84 = 230,355.60 : x
  2. Step 2: Convert to fraction form
    391,536/540,273.84 = 230,355.60/x
  3. Step 3: Cross multiply
    391,536x = 540,273.84 × 230,355.60
  4. Step 4: Simplify right side
    391,536x = 124,455,104,577.50
  5. Step 5: Solve for x
    x = 124,455,104,577.50/391,536
  6. Step 6: Final answer
    x = 317,863.76

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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.