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Finding the Fourth Proportional to 287,790.20, 397,131.82 and 160,458.20

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Solution

The fourth proportional to 287,790.20, 397,131.82 and 160,458.20 is: 221,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,790.20 : 397,131.82 = 160,458.20 : x
  2. Step 2: Convert to fraction form
    287,790.20/397,131.82 = 160,458.20/x
  3. Step 3: Cross multiply
    287,790.20x = 397,131.82 × 160,458.20
  4. Step 4: Simplify right side
    287,790.20x = 63,723,056,999.92
  5. Step 5: Solve for x
    x = 63,723,056,999.92/287,790.20
  6. Step 6: Final answer
    x = 221,421.91

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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.