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Finding the Fourth Proportional to 403,843.02, 605,742.60 and 123,338.40

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Solution

The fourth proportional to 403,843.02, 605,742.60 and 123,338.40 is: 185,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,843.02 : 605,742.60 = 123,338.40 : x
  2. Step 2: Convert to fraction form
    403,843.02/605,742.60 = 123,338.40/x
  3. Step 3: Cross multiply
    403,843.02x = 605,742.60 × 123,338.40
  4. Step 4: Simplify right side
    403,843.02x = 74,711,323,095.84
  5. Step 5: Solve for x
    x = 74,711,323,095.84/403,843.02
  6. Step 6: Final answer
    x = 185,000.90

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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.