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Finding the Fourth Proportional to 287,057.88, 430,630.56 and 146,769.12

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Solution

The fourth proportional to 287,057.88, 430,630.56 and 146,769.12 is: 220,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,057.88 : 430,630.56 = 146,769.12 : x
  2. Step 2: Convert to fraction form
    287,057.88/430,630.56 = 146,769.12/x
  3. Step 3: Cross multiply
    287,057.88x = 430,630.56 × 146,769.12
  4. Step 4: Simplify right side
    287,057.88x = 63,203,268,336.31
  5. Step 5: Solve for x
    x = 63,203,268,336.31/287,057.88
  6. Step 6: Final answer
    x = 220,176.04

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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.