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Finding the Fourth Proportional to 287,146.16, 430,245.32 and 166,865.48

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Solution

The fourth proportional to 287,146.16, 430,245.32 and 166,865.48 is: 250,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,146.16 : 430,245.32 = 166,865.48 : x
  2. Step 2: Convert to fraction form
    287,146.16/430,245.32 = 166,865.48/x
  3. Step 3: Cross multiply
    287,146.16x = 430,245.32 × 166,865.48
  4. Step 4: Simplify right side
    287,146.16x = 71,793,091,839.55
  5. Step 5: Solve for x
    x = 71,793,091,839.55/287,146.16
  6. Step 6: Final answer
    x = 250,022.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.