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Finding the Fourth Proportional to 287,175.40, 396,295.32 and 159,848.26

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Solution

The fourth proportional to 287,175.40, 396,295.32 and 159,848.26 is: 220,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,175.40 : 396,295.32 = 159,848.26 : x
  2. Step 2: Convert to fraction form
    287,175.40/396,295.32 = 159,848.26/x
  3. Step 3: Cross multiply
    287,175.40x = 396,295.32 × 159,848.26
  4. Step 4: Simplify right side
    287,175.40x = 63,347,117,348.14
  5. Step 5: Solve for x
    x = 63,347,117,348.14/287,175.40
  6. Step 6: Final answer
    x = 220,586.85

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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.