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Finding the Fourth Proportional to 362,118.84, 542,392.02 and 221,451

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Solution

The fourth proportional to 362,118.84, 542,392.02 and 221,451 is: 331,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,118.84 : 542,392.02 = 221,451 : x
  2. Step 2: Convert to fraction form
    362,118.84/542,392.02 = 221,451/x
  3. Step 3: Cross multiply
    362,118.84x = 542,392.02 × 221,451
  4. Step 4: Simplify right side
    362,118.84x = 120,113,255,221.02
  5. Step 5: Solve for x
    x = 120,113,255,221.02/362,118.84
  6. Step 6: Final answer
    x = 331,695.68

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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.