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Finding the Fourth Proportional to 307,716.64, 424,670.35 and 171,777.12

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Solution

The fourth proportional to 307,716.64, 424,670.35 and 171,777.12 is: 237,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,716.64 : 424,670.35 = 171,777.12 : x
  2. Step 2: Convert to fraction form
    307,716.64/424,670.35 = 171,777.12/x
  3. Step 3: Cross multiply
    307,716.64x = 424,670.35 × 171,777.12
  4. Step 4: Simplify right side
    307,716.64x = 72,948,649,672.39
  5. Step 5: Solve for x
    x = 72,948,649,672.39/307,716.64
  6. Step 6: Final answer
    x = 237,064.36

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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.