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Finding the Fourth Proportional to 403,947.20, 605,229.60 and 256,030.40

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Solution

The fourth proportional to 403,947.20, 605,229.60 and 256,030.40 is: 383,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,947.20 : 605,229.60 = 256,030.40 : x
  2. Step 2: Convert to fraction form
    403,947.20/605,229.60 = 256,030.40/x
  3. Step 3: Cross multiply
    403,947.20x = 605,229.60 × 256,030.40
  4. Step 4: Simplify right side
    403,947.20x = 154,957,176,579.84
  5. Step 5: Solve for x
    x = 154,957,176,579.84/403,947.20
  6. Step 6: Final answer
    x = 383,607.50

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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.