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Finding the Fourth Proportional to 403,842.20, 605,763.30 and 401,077.40

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Solution

The fourth proportional to 403,842.20, 605,763.30 and 401,077.40 is: 601,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,842.20 : 605,763.30 = 401,077.40 : x
  2. Step 2: Convert to fraction form
    403,842.20/605,763.30 = 401,077.40/x
  3. Step 3: Cross multiply
    403,842.20x = 605,763.30 × 401,077.40
  4. Step 4: Simplify right side
    403,842.20x = 242,957,969,379.42
  5. Step 5: Solve for x
    x = 242,957,969,379.42/403,842.20
  6. Step 6: Final answer
    x = 601,616.10

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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.