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Finding the Fourth Proportional to 312,649.35, 431,456.49 and 169,409.37

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Solution

The fourth proportional to 312,649.35, 431,456.49 and 169,409.37 is: 233,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,649.35 : 431,456.49 = 169,409.37 : x
  2. Step 2: Convert to fraction form
    312,649.35/431,456.49 = 169,409.37/x
  3. Step 3: Cross multiply
    312,649.35x = 431,456.49 × 169,409.37
  4. Step 4: Simplify right side
    312,649.35x = 73,092,772,153.31
  5. Step 5: Solve for x
    x = 73,092,772,153.31/312,649.35
  6. Step 6: Final answer
    x = 233,785.14

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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.