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Finding the Fourth Proportional to 312,946.71, 431,866.56 and 169,706.71

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Solution

The fourth proportional to 312,946.71, 431,866.56 and 169,706.71 is: 234,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,946.71 : 431,866.56 = 169,706.71 : x
  2. Step 2: Convert to fraction form
    312,946.71/431,866.56 = 169,706.71/x
  3. Step 3: Cross multiply
    312,946.71x = 431,866.56 × 169,706.71
  4. Step 4: Simplify right side
    312,946.71x = 73,290,653,056.62
  5. Step 5: Solve for x
    x = 73,290,653,056.62/312,946.71
  6. Step 6: Final answer
    x = 234,195.31

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1.5x scale

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.