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Finding the Fourth Proportional to 287,689.60, 397,016.85 and 160,351.48

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Solution

The fourth proportional to 287,689.60, 397,016.85 and 160,351.48 is: 221,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,689.60 : 397,016.85 = 160,351.48 : x
  2. Step 2: Convert to fraction form
    287,689.60/397,016.85 = 160,351.48/x
  3. Step 3: Cross multiply
    287,689.60x = 397,016.85 × 160,351.48
  4. Step 4: Simplify right side
    287,689.60x = 63,662,239,482.44
  5. Step 5: Solve for x
    x = 63,662,239,482.44/287,689.60
  6. Step 6: Final answer
    x = 221,287.94

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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.