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Finding the Fourth Proportional to 312,465.60, 431,197.43 and 169,224.39

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Solution

The fourth proportional to 312,465.60, 431,197.43 and 169,224.39 is: 233,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,465.60 : 431,197.43 = 169,224.39 : x
  2. Step 2: Convert to fraction form
    312,465.60/431,197.43 = 169,224.39/x
  3. Step 3: Cross multiply
    312,465.60x = 431,197.43 × 169,224.39
  4. Step 4: Simplify right side
    312,465.60x = 72,969,121,215.20
  5. Step 5: Solve for x
    x = 72,969,121,215.20/312,465.60
  6. Step 6: Final answer
    x = 233,526.89

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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.