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Finding the Fourth Proportional to 391,121.80, 583,750.43 and 365,583.78

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Solution

The fourth proportional to 391,121.80, 583,750.43 and 365,583.78 is: 545,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,121.80 : 583,750.43 = 365,583.78 : x
  2. Step 2: Convert to fraction form
    391,121.80/583,750.43 = 365,583.78/x
  3. Step 3: Cross multiply
    391,121.80x = 583,750.43 × 365,583.78
  4. Step 4: Simplify right side
    391,121.80x = 213,409,688,319.05
  5. Step 5: Solve for x
    x = 213,409,688,319.05/391,121.80
  6. Step 6: Final answer
    x = 545,634.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.