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Finding the Fourth Proportional to 287,602.32, 396,892.53 and 166,815.12

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Solution

The fourth proportional to 287,602.32, 396,892.53 and 166,815.12 is: 230,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,602.32 : 396,892.53 = 166,815.12 : x
  2. Step 2: Convert to fraction form
    287,602.32/396,892.53 = 166,815.12/x
  3. Step 3: Cross multiply
    287,602.32x = 396,892.53 × 166,815.12
  4. Step 4: Simplify right side
    287,602.32x = 66,207,675,019.05
  5. Step 5: Solve for x
    x = 66,207,675,019.05/287,602.32
  6. Step 6: Final answer
    x = 230,205.64

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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.