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Finding the Fourth Proportional to 392,689.95, 541,880.19 and 220,598.57

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Solution

The fourth proportional to 392,689.95, 541,880.19 and 220,598.57 is: 304,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,689.95 : 541,880.19 = 220,598.57 : x
  2. Step 2: Convert to fraction form
    392,689.95/541,880.19 = 220,598.57/x
  3. Step 3: Cross multiply
    392,689.95x = 541,880.19 × 220,598.57
  4. Step 4: Simplify right side
    392,689.95x = 119,537,992,315.93
  5. Step 5: Solve for x
    x = 119,537,992,315.93/392,689.95
  6. Step 6: Final answer
    x = 304,408.08

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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.