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Finding the Fourth Proportional to 393,678.12, 542,995.88 and 262,789.77

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Solution

The fourth proportional to 393,678.12, 542,995.88 and 262,789.77 is: 362,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,678.12 : 542,995.88 = 262,789.77 : x
  2. Step 2: Convert to fraction form
    393,678.12/542,995.88 = 262,789.77/x
  3. Step 3: Cross multiply
    393,678.12x = 542,995.88 × 262,789.77
  4. Step 4: Simplify right side
    393,678.12x = 142,693,761,102.20
  5. Step 5: Solve for x
    x = 142,693,761,102.20/393,678.12
  6. Step 6: Final answer
    x = 362,463.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.