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Finding the Fourth Proportional to 287,833.76, 397,212.15 and 158,776.80

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Solution

The fourth proportional to 287,833.76, 397,212.15 and 158,776.80 is: 219,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,833.76 : 397,212.15 = 158,776.80 : x
  2. Step 2: Convert to fraction form
    287,833.76/397,212.15 = 158,776.80/x
  3. Step 3: Cross multiply
    287,833.76x = 397,212.15 × 158,776.80
  4. Step 4: Simplify right side
    287,833.76x = 63,068,074,098.12
  5. Step 5: Solve for x
    x = 63,068,074,098.12/287,833.76
  6. Step 6: Final answer
    x = 219,112.85

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1.5x scale

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.