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Finding the Fourth Proportional to 231,415.85, 319,383.45 and 129,446.98

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Solution

The fourth proportional to 231,415.85, 319,383.45 and 129,446.98 is: 178,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,415.85 : 319,383.45 = 129,446.98 : x
  2. Step 2: Convert to fraction form
    231,415.85/319,383.45 = 129,446.98/x
  3. Step 3: Cross multiply
    231,415.85x = 319,383.45 × 129,446.98
  4. Step 4: Simplify right side
    231,415.85x = 41,343,223,064.48
  5. Step 5: Solve for x
    x = 41,343,223,064.48/231,415.85
  6. Step 6: Final answer
    x = 178,653.38

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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.