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Finding the Fourth Proportional to 231,278.94, 319,160.79 and 130,674.78

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Solution

The fourth proportional to 231,278.94, 319,160.79 and 130,674.78 is: 180,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,278.94 : 319,160.79 = 130,674.78 : x
  2. Step 2: Convert to fraction form
    231,278.94/319,160.79 = 130,674.78/x
  3. Step 3: Cross multiply
    231,278.94x = 319,160.79 × 130,674.78
  4. Step 4: Simplify right side
    231,278.94x = 41,706,266,017.88
  5. Step 5: Solve for x
    x = 41,706,266,017.88/231,278.94
  6. Step 6: Final answer
    x = 180,328.85

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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.