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Finding the Fourth Proportional to 287,667.16, 396,994.16 and 160,343.66

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Solution

The fourth proportional to 287,667.16, 396,994.16 and 160,343.66 is: 221,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,667.16 : 396,994.16 = 160,343.66 : x
  2. Step 2: Convert to fraction form
    287,667.16/396,994.16 = 160,343.66/x
  3. Step 3: Cross multiply
    287,667.16x = 396,994.16 × 160,343.66
  4. Step 4: Simplify right side
    287,667.16x = 63,655,496,613.03
  5. Step 5: Solve for x
    x = 63,655,496,613.03/287,667.16
  6. Step 6: Final answer
    x = 221,281.76

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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.