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Finding the Fourth Proportional to 287,459.64, 396,694.52 and 160,135.52

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Solution

The fourth proportional to 287,459.64, 396,694.52 and 160,135.52 is: 220,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,459.64 : 396,694.52 = 160,135.52 : x
  2. Step 2: Convert to fraction form
    287,459.64/396,694.52 = 160,135.52/x
  3. Step 3: Cross multiply
    287,459.64x = 396,694.52 × 160,135.52
  4. Step 4: Simplify right side
    287,459.64x = 63,524,883,241.35
  5. Step 5: Solve for x
    x = 63,524,883,241.35/287,459.64
  6. Step 6: Final answer
    x = 220,987.14

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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.