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Finding the Fourth Proportional to 260,056, 358,877.28 and 140,824

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Solution

The fourth proportional to 260,056, 358,877.28 and 140,824 is: 194,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,056 : 358,877.28 = 140,824 : x
  2. Step 2: Convert to fraction form
    260,056/358,877.28 = 140,824/x
  3. Step 3: Cross multiply
    260,056x = 358,877.28 × 140,824
  4. Step 4: Simplify right side
    260,056x = 50,538,534,078.72
  5. Step 5: Solve for x
    x = 50,538,534,078.72/260,056
  6. Step 6: Final answer
    x = 194,337.12

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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.