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Finding the Fourth Proportional to 286,965.02, 396,011.72 and 159,640.61

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Solution

The fourth proportional to 286,965.02, 396,011.72 and 159,640.61 is: 220,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,965.02 : 396,011.72 = 159,640.61 : x
  2. Step 2: Convert to fraction form
    286,965.02/396,011.72 = 159,640.61/x
  3. Step 3: Cross multiply
    286,965.02x = 396,011.72 × 159,640.61
  4. Step 4: Simplify right side
    286,965.02x = 63,219,552,547.95
  5. Step 5: Solve for x
    x = 63,219,552,547.95/286,965.02
  6. Step 6: Final answer
    x = 220,304.04

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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.