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Finding the Fourth Proportional to 373,904.83, 515,986 and 204,138.95

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Solution

The fourth proportional to 373,904.83, 515,986 and 204,138.95 is: 281,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,904.83 : 515,986 = 204,138.95 : x
  2. Step 2: Convert to fraction form
    373,904.83/515,986 = 204,138.95/x
  3. Step 3: Cross multiply
    373,904.83x = 515,986 × 204,138.95
  4. Step 4: Simplify right side
    373,904.83x = 105,332,840,254.70
  5. Step 5: Solve for x
    x = 105,332,840,254.70/373,904.83
  6. Step 6: Final answer
    x = 281,710.30

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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.