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Finding the Fourth Proportional to 287,276.40, 430,914.78 and 137,481.48

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Solution

The fourth proportional to 287,276.40, 430,914.78 and 137,481.48 is: 206,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,276.40 : 430,914.78 = 137,481.48 : x
  2. Step 2: Convert to fraction form
    287,276.40/430,914.78 = 137,481.48/x
  3. Step 3: Cross multiply
    287,276.40x = 430,914.78 × 137,481.48
  4. Step 4: Simplify right side
    287,276.40x = 59,242,801,708.27
  5. Step 5: Solve for x
    x = 59,242,801,708.27/287,276.40
  6. Step 6: Final answer
    x = 206,222.31

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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.