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Finding the Fourth Proportional to 287,421.72, 396,654.21 and 160,097.37

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Solution

The fourth proportional to 287,421.72, 396,654.21 and 160,097.37 is: 220,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,421.72 : 396,654.21 = 160,097.37 : x
  2. Step 2: Convert to fraction form
    287,421.72/396,654.21 = 160,097.37/x
  3. Step 3: Cross multiply
    287,421.72x = 396,654.21 × 160,097.37
  4. Step 4: Simplify right side
    287,421.72x = 63,503,295,820.43
  5. Step 5: Solve for x
    x = 63,503,295,820.43/287,421.72
  6. Step 6: Final answer
    x = 220,941.19

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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.