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Finding the Fourth Proportional to 312,707.42, 431,536.61 and 169,467.46

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Solution

The fourth proportional to 312,707.42, 431,536.61 and 169,467.46 is: 233,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,707.42 : 431,536.61 = 169,467.46 : x
  2. Step 2: Convert to fraction form
    312,707.42/431,536.61 = 169,467.46/x
  3. Step 3: Cross multiply
    312,707.42x = 431,536.61 × 169,467.46
  4. Step 4: Simplify right side
    312,707.42x = 73,131,413,193.71
  5. Step 5: Solve for x
    x = 73,131,413,193.71/312,707.42
  6. Step 6: Final answer
    x = 233,865.30

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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.