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Finding the Fourth Proportional to 307,194.66, 423,915.12 and 171,243.54

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Solution

The fourth proportional to 307,194.66, 423,915.12 and 171,243.54 is: 236,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,194.66 : 423,915.12 = 171,243.54 : x
  2. Step 2: Convert to fraction form
    307,194.66/423,915.12 = 171,243.54/x
  3. Step 3: Cross multiply
    307,194.66x = 423,915.12 × 171,243.54
  4. Step 4: Simplify right side
    307,194.66x = 72,592,725,808.32
  5. Step 5: Solve for x
    x = 72,592,725,808.32/307,194.66
  6. Step 6: Final answer
    x = 236,308.55

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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.