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Finding the Fourth Proportional to 312,642.48, 431,447.01 and 169,402.44

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Solution

The fourth proportional to 312,642.48, 431,447.01 and 169,402.44 is: 233,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,642.48 : 431,447.01 = 169,402.44 : x
  2. Step 2: Convert to fraction form
    312,642.48/431,447.01 = 169,402.44/x
  3. Step 3: Cross multiply
    312,642.48x = 431,447.01 × 169,402.44
  4. Step 4: Simplify right side
    312,642.48x = 73,088,176,224.70
  5. Step 5: Solve for x
    x = 73,088,176,224.70/312,642.48
  6. Step 6: Final answer
    x = 233,775.58

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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.