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Finding the Fourth Proportional to 231,494.35, 319,460.47 and 130,895.95

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Solution

The fourth proportional to 231,494.35, 319,460.47 and 130,895.95 is: 180,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,494.35 : 319,460.47 = 130,895.95 : x
  2. Step 2: Convert to fraction form
    231,494.35/319,460.47 = 130,895.95/x
  3. Step 3: Cross multiply
    231,494.35x = 319,460.47 × 130,895.95
  4. Step 4: Simplify right side
    231,494.35x = 41,816,081,708.10
  5. Step 5: Solve for x
    x = 41,816,081,708.10/231,494.35
  6. Step 6: Final answer
    x = 180,635.43

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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.