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Finding the Fourth Proportional to 287,791.20, 397,133.20 and 160,459.20

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Solution

The fourth proportional to 287,791.20, 397,133.20 and 160,459.20 is: 221,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,791.20 : 397,133.20 = 160,459.20 : x
  2. Step 2: Convert to fraction form
    287,791.20/397,133.20 = 160,459.20/x
  3. Step 3: Cross multiply
    287,791.20x = 397,133.20 × 160,459.20
  4. Step 4: Simplify right side
    287,791.20x = 63,723,675,565.44
  5. Step 5: Solve for x
    x = 63,723,675,565.44/287,791.20
  6. Step 6: Final answer
    x = 221,423.29

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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.