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Finding the Fourth Proportional to 287,665.62, 396,931.14 and 166,757.38

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Solution

The fourth proportional to 287,665.62, 396,931.14 and 166,757.38 is: 230,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,665.62 : 396,931.14 = 166,757.38 : x
  2. Step 2: Convert to fraction form
    287,665.62/396,931.14 = 166,757.38/x
  3. Step 3: Cross multiply
    287,665.62x = 396,931.14 × 166,757.38
  4. Step 4: Simplify right side
    287,665.62x = 66,191,196,946.81
  5. Step 5: Solve for x
    x = 66,191,196,946.81/287,665.62
  6. Step 6: Final answer
    x = 230,097.70

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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.