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Finding the Fourth Proportional to 287,010.52, 430,236.66 and 137,212

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Solution

The fourth proportional to 287,010.52, 430,236.66 and 137,212 is: 205,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,010.52 : 430,236.66 = 137,212 : x
  2. Step 2: Convert to fraction form
    287,010.52/430,236.66 = 137,212/x
  3. Step 3: Cross multiply
    287,010.52x = 430,236.66 × 137,212
  4. Step 4: Simplify right side
    287,010.52x = 59,033,632,591.92
  5. Step 5: Solve for x
    x = 59,033,632,591.92/287,010.52
  6. Step 6: Final answer
    x = 205,684.56

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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.