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Finding the Fourth Proportional to 229,745.28, 316,827.36 and 149,142.72

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Solution

The fourth proportional to 229,745.28, 316,827.36 and 149,142.72 is: 205,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,745.28 : 316,827.36 = 149,142.72 : x
  2. Step 2: Convert to fraction form
    229,745.28/316,827.36 = 149,142.72/x
  3. Step 3: Cross multiply
    229,745.28x = 316,827.36 × 149,142.72
  4. Step 4: Simplify right side
    229,745.28x = 47,252,494,240.82
  5. Step 5: Solve for x
    x = 47,252,494,240.82/229,745.28
  6. Step 6: Final answer
    x = 205,673.41

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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.