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Finding the Fourth Proportional to 220,454, 330,449.76 and 92,443.28

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Solution

The fourth proportional to 220,454, 330,449.76 and 92,443.28 is: 138,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,454 : 330,449.76 = 92,443.28 : x
  2. Step 2: Convert to fraction form
    220,454/330,449.76 = 92,443.28/x
  3. Step 3: Cross multiply
    220,454x = 330,449.76 × 92,443.28
  4. Step 4: Simplify right side
    220,454x = 30,547,859,689.61
  5. Step 5: Solve for x
    x = 30,547,859,689.61/220,454
  6. Step 6: Final answer
    x = 138,567.95

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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.