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Finding the Fourth Proportional to 377,643.36, 521,086.80 and 216,468.80

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Solution

The fourth proportional to 377,643.36, 521,086.80 and 216,468.80 is: 298,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,643.36 : 521,086.80 = 216,468.80 : x
  2. Step 2: Convert to fraction form
    377,643.36/521,086.80 = 216,468.80/x
  3. Step 3: Cross multiply
    377,643.36x = 521,086.80 × 216,468.80
  4. Step 4: Simplify right side
    377,643.36x = 112,799,034,291.84
  5. Step 5: Solve for x
    x = 112,799,034,291.84/377,643.36
  6. Step 6: Final answer
    x = 298,691.96

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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.