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Finding the Fourth Proportional to 287,884.32, 397,151.84 and 166,955.48

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Solution

The fourth proportional to 287,884.32, 397,151.84 and 166,955.48 is: 230,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,884.32 : 397,151.84 = 166,955.48 : x
  2. Step 2: Convert to fraction form
    287,884.32/397,151.84 = 166,955.48/x
  3. Step 3: Cross multiply
    287,884.32x = 397,151.84 × 166,955.48
  4. Step 4: Simplify right side
    287,884.32x = 66,306,676,080.08
  5. Step 5: Solve for x
    x = 66,306,676,080.08/287,884.32
  6. Step 6: Final answer
    x = 230,324.03

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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.