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Finding the Fourth Proportional to 313,696.43, 432,903.66 and 170,456.47

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Solution

The fourth proportional to 313,696.43, 432,903.66 and 170,456.47 is: 235,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,696.43 : 432,903.66 = 170,456.47 : x
  2. Step 2: Convert to fraction form
    313,696.43/432,903.66 = 170,456.47/x
  3. Step 3: Cross multiply
    313,696.43x = 432,903.66 × 170,456.47
  4. Step 4: Simplify right side
    313,696.43x = 73,791,229,733.68
  5. Step 5: Solve for x
    x = 73,791,229,733.68/313,696.43
  6. Step 6: Final answer
    x = 235,231.34

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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.