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Finding the Fourth Proportional to 391,041.30, 586,142.64 and 256,054.08

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Solution

The fourth proportional to 391,041.30, 586,142.64 and 256,054.08 is: 383,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,041.30 : 586,142.64 = 256,054.08 : x
  2. Step 2: Convert to fraction form
    391,041.30/586,142.64 = 256,054.08/x
  3. Step 3: Cross multiply
    391,041.30x = 586,142.64 × 256,054.08
  4. Step 4: Simplify right side
    391,041.30x = 150,084,214,433.97
  5. Step 5: Solve for x
    x = 150,084,214,433.97/391,041.30
  6. Step 6: Final answer
    x = 383,806.56

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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.