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Finding the Fourth Proportional to 403,744.20, 605,616.30 and 381,971.40

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Solution

The fourth proportional to 403,744.20, 605,616.30 and 381,971.40 is: 572,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,744.20 : 605,616.30 = 381,971.40 : x
  2. Step 2: Convert to fraction form
    403,744.20/605,616.30 = 381,971.40/x
  3. Step 3: Cross multiply
    403,744.20x = 605,616.30 × 381,971.40
  4. Step 4: Simplify right side
    403,744.20x = 231,328,105,973.82
  5. Step 5: Solve for x
    x = 231,328,105,973.82/403,744.20
  6. Step 6: Final answer
    x = 572,957.10

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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.