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Finding the Fourth Proportional to 312,945.31, 431,864.76 and 169,705.32

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Solution

The fourth proportional to 312,945.31, 431,864.76 and 169,705.32 is: 234,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,945.31 : 431,864.76 = 169,705.32 : x
  2. Step 2: Convert to fraction form
    312,945.31/431,864.76 = 169,705.32/x
  3. Step 3: Cross multiply
    312,945.31x = 431,864.76 × 169,705.32
  4. Step 4: Simplify right side
    312,945.31x = 73,289,747,292.52
  5. Step 5: Solve for x
    x = 73,289,747,292.52/312,945.31
  6. Step 6: Final answer
    x = 234,193.47

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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.