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Finding the Fourth Proportional to 403,821.80, 605,003.70 and 235,204.10

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Solution

The fourth proportional to 403,821.80, 605,003.70 and 235,204.10 is: 352,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,821.80 : 605,003.70 = 235,204.10 : x
  2. Step 2: Convert to fraction form
    403,821.80/605,003.70 = 235,204.10/x
  3. Step 3: Cross multiply
    403,821.80x = 605,003.70 × 235,204.10
  4. Step 4: Simplify right side
    403,821.80x = 142,299,350,755.17
  5. Step 5: Solve for x
    x = 142,299,350,755.17/403,821.80
  6. Step 6: Final answer
    x = 352,381.55

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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.