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Finding the Fourth Proportional to 231,415.44, 319,349.16 and 130,811.28

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Solution

The fourth proportional to 231,415.44, 319,349.16 and 130,811.28 is: 180,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,415.44 : 319,349.16 = 130,811.28 : x
  2. Step 2: Convert to fraction form
    231,415.44/319,349.16 = 130,811.28/x
  3. Step 3: Cross multiply
    231,415.44x = 319,349.16 × 130,811.28
  4. Step 4: Simplify right side
    231,415.44x = 41,774,472,386.52
  5. Step 5: Solve for x
    x = 41,774,472,386.52/231,415.44
  6. Step 6: Final answer
    x = 180,517.22

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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.