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Finding the Fourth Proportional to 287,175.76, 396,339.72 and 164,715.88

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Solution

The fourth proportional to 287,175.76, 396,339.72 and 164,715.88 is: 227,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,175.76 : 396,339.72 = 164,715.88 : x
  2. Step 2: Convert to fraction form
    287,175.76/396,339.72 = 164,715.88/x
  3. Step 3: Cross multiply
    287,175.76x = 396,339.72 × 164,715.88
  4. Step 4: Simplify right side
    287,175.76x = 65,283,445,758.75
  5. Step 5: Solve for x
    x = 65,283,445,758.75/287,175.76
  6. Step 6: Final answer
    x = 227,329.23

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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.