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Finding the Fourth Proportional to 287,632, 396,945.68 and 160,308.52

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Solution

The fourth proportional to 287,632, 396,945.68 and 160,308.52 is: 221,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,632 : 396,945.68 = 160,308.52 : x
  2. Step 2: Convert to fraction form
    287,632/396,945.68 = 160,308.52/x
  3. Step 3: Cross multiply
    287,632x = 396,945.68 × 160,308.52
  4. Step 4: Simplify right side
    287,632x = 63,633,774,481.19
  5. Step 5: Solve for x
    x = 63,633,774,481.19/287,632
  6. Step 6: Final answer
    x = 221,233.29

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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.