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Finding the Fourth Proportional to 312,946.31, 431,866.14 and 169,706.32

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Solution

The fourth proportional to 312,946.31, 431,866.14 and 169,706.32 is: 234,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,946.31 : 431,866.14 = 169,706.32 : x
  2. Step 2: Convert to fraction form
    312,946.31/431,866.14 = 169,706.32/x
  3. Step 3: Cross multiply
    312,946.31x = 431,866.14 × 169,706.32
  4. Step 4: Simplify right side
    312,946.31x = 73,290,413,352.00
  5. Step 5: Solve for x
    x = 73,290,413,352.00/312,946.31
  6. Step 6: Final answer
    x = 234,194.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.