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Finding the Fourth Proportional to 287,920.26, 397,327.33 and 158,859.92

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Solution

The fourth proportional to 287,920.26, 397,327.33 and 158,859.92 is: 219,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,920.26 : 397,327.33 = 158,859.92 : x
  2. Step 2: Convert to fraction form
    287,920.26/397,327.33 = 158,859.92/x
  3. Step 3: Cross multiply
    287,920.26x = 397,327.33 × 158,859.92
  4. Step 4: Simplify right side
    287,920.26x = 63,119,387,597.18
  5. Step 5: Solve for x
    x = 63,119,387,597.18/287,920.26
  6. Step 6: Final answer
    x = 219,225.24

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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.