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Finding the Fourth Proportional to 312,542.55, 431,308.70 and 169,302.56

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Solution

The fourth proportional to 312,542.55, 431,308.70 and 169,302.56 is: 233,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,542.55 : 431,308.70 = 169,302.56 : x
  2. Step 2: Convert to fraction form
    312,542.55/431,308.70 = 169,302.56/x
  3. Step 3: Cross multiply
    312,542.55x = 431,308.70 × 169,302.56
  4. Step 4: Simplify right side
    312,542.55x = 73,021,664,057.22
  5. Step 5: Solve for x
    x = 73,021,664,057.22/312,542.55
  6. Step 6: Final answer
    x = 233,637.51

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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.