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Finding the Fourth Proportional to 403,833.80, 605,750.70 and 262,116.20

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Solution

The fourth proportional to 403,833.80, 605,750.70 and 262,116.20 is: 393,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,833.80 : 605,750.70 = 262,116.20 : x
  2. Step 2: Convert to fraction form
    403,833.80/605,750.70 = 262,116.20/x
  3. Step 3: Cross multiply
    403,833.80x = 605,750.70 × 262,116.20
  4. Step 4: Simplify right side
    403,833.80x = 158,777,071,631.34
  5. Step 5: Solve for x
    x = 158,777,071,631.34/403,833.80
  6. Step 6: Final answer
    x = 393,174.30

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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.