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Finding the Fourth Proportional to 305,915.72, 422,045.80 and 225,534.36

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Solution

The fourth proportional to 305,915.72, 422,045.80 and 225,534.36 is: 311,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,915.72 : 422,045.80 = 225,534.36 : x
  2. Step 2: Convert to fraction form
    305,915.72/422,045.80 = 225,534.36/x
  3. Step 3: Cross multiply
    305,915.72x = 422,045.80 × 225,534.36
  4. Step 4: Simplify right side
    305,915.72x = 95,185,829,393.69
  5. Step 5: Solve for x
    x = 95,185,829,393.69/305,915.72
  6. Step 6: Final answer
    x = 311,150.50

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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.