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Finding the Fourth Proportional to 287,175.15, 396,294.98 and 159,848.01

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Solution

The fourth proportional to 287,175.15, 396,294.98 and 159,848.01 is: 220,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,175.15 : 396,294.98 = 159,848.01 : x
  2. Step 2: Convert to fraction form
    287,175.15/396,294.98 = 159,848.01/x
  3. Step 3: Cross multiply
    287,175.15x = 396,294.98 × 159,848.01
  4. Step 4: Simplify right side
    287,175.15x = 63,346,963,126.75
  5. Step 5: Solve for x
    x = 63,346,963,126.75/287,175.15
  6. Step 6: Final answer
    x = 220,586.51

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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.