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Finding the Fourth Proportional to 287,464.88, 396,713.80 and 160,140.56

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Solution

The fourth proportional to 287,464.88, 396,713.80 and 160,140.56 is: 221,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,464.88 : 396,713.80 = 160,140.56 : x
  2. Step 2: Convert to fraction form
    287,464.88/396,713.80 = 160,140.56/x
  3. Step 3: Cross multiply
    287,464.88x = 396,713.80 × 160,140.56
  4. Step 4: Simplify right side
    287,464.88x = 63,529,970,091.73
  5. Step 5: Solve for x
    x = 63,529,970,091.73/287,464.88
  6. Step 6: Final answer
    x = 221,000.81

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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.