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Finding the Fourth Proportional to 231,381, 319,292.46 and 128,008.98

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Solution

The fourth proportional to 231,381, 319,292.46 and 128,008.98 is: 176,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,381 : 319,292.46 = 128,008.98 : x
  2. Step 2: Convert to fraction form
    231,381/319,292.46 = 128,008.98/x
  3. Step 3: Cross multiply
    231,381x = 319,292.46 × 128,008.98
  4. Step 4: Simplify right side
    231,381x = 40,872,302,126.29
  5. Step 5: Solve for x
    x = 40,872,302,126.29/231,381
  6. Step 6: Final answer
    x = 176,645.02

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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.