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Finding the Fourth Proportional to 403,947.60, 605,921.40 and 123,428.40

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Solution

The fourth proportional to 403,947.60, 605,921.40 and 123,428.40 is: 185,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,947.60 : 605,921.40 = 123,428.40 : x
  2. Step 2: Convert to fraction form
    403,947.60/605,921.40 = 123,428.40/x
  3. Step 3: Cross multiply
    403,947.60x = 605,921.40 × 123,428.40
  4. Step 4: Simplify right side
    403,947.60x = 74,787,908,927.76
  5. Step 5: Solve for x
    x = 74,787,908,927.76/403,947.60
  6. Step 6: Final answer
    x = 185,142.60

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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.