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Finding the Fourth Proportional to 287,128.54, 430,790.21 and 127,182.97

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Solution

The fourth proportional to 287,128.54, 430,790.21 and 127,182.97 is: 190,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,128.54 : 430,790.21 = 127,182.97 : x
  2. Step 2: Convert to fraction form
    287,128.54/430,790.21 = 127,182.97/x
  3. Step 3: Cross multiply
    287,128.54x = 430,790.21 × 127,182.97
  4. Step 4: Simplify right side
    287,128.54x = 54,789,175,564.86
  5. Step 5: Solve for x
    x = 54,789,175,564.86/287,128.54
  6. Step 6: Final answer
    x = 190,817.59

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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.