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Finding the Fourth Proportional to 287,491.72, 396,738.72 and 160,175.68

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Solution

The fourth proportional to 287,491.72, 396,738.72 and 160,175.68 is: 221,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,491.72 : 396,738.72 = 160,175.68 : x
  2. Step 2: Convert to fraction form
    287,491.72/396,738.72 = 160,175.68/x
  3. Step 3: Cross multiply
    287,491.72x = 396,738.72 × 160,175.68
  4. Step 4: Simplify right side
    287,491.72x = 63,547,894,258.33
  5. Step 5: Solve for x
    x = 63,547,894,258.33/287,491.72
  6. Step 6: Final answer
    x = 221,042.52

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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.