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Finding the Fourth Proportional to 287,160.72, 430,304.52 and 137,194.44

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Solution

The fourth proportional to 287,160.72, 430,304.52 and 137,194.44 is: 205,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,160.72 : 430,304.52 = 137,194.44 : x
  2. Step 2: Convert to fraction form
    287,160.72/430,304.52 = 137,194.44/x
  3. Step 3: Cross multiply
    287,160.72x = 430,304.52 × 137,194.44
  4. Step 4: Simplify right side
    287,160.72x = 59,035,387,650.87
  5. Step 5: Solve for x
    x = 59,035,387,650.87/287,160.72
  6. Step 6: Final answer
    x = 205,583.09

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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.