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Finding the Fourth Proportional to 287,265.51, 396,411.20 and 164,751.56

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Solution

The fourth proportional to 287,265.51, 396,411.20 and 164,751.56 is: 227,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,265.51 : 396,411.20 = 164,751.56 : x
  2. Step 2: Convert to fraction form
    287,265.51/396,411.20 = 164,751.56/x
  3. Step 3: Cross multiply
    287,265.51x = 396,411.20 × 164,751.56
  4. Step 4: Simplify right side
    287,265.51x = 65,309,363,601.47
  5. Step 5: Solve for x
    x = 65,309,363,601.47/287,265.51
  6. Step 6: Final answer
    x = 227,348.43

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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.