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Finding the Fourth Proportional to 287,507.67, 396,763.30 and 158,450.86

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Solution

The fourth proportional to 287,507.67, 396,763.30 and 158,450.86 is: 218,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,507.67 : 396,763.30 = 158,450.86 : x
  2. Step 2: Convert to fraction form
    287,507.67/396,763.30 = 158,450.86/x
  3. Step 3: Cross multiply
    287,507.67x = 396,763.30 × 158,450.86
  4. Step 4: Simplify right side
    287,507.67x = 62,867,487,967.51
  5. Step 5: Solve for x
    x = 62,867,487,967.51/287,507.67
  6. Step 6: Final answer
    x = 218,663.69

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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.