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Finding the Fourth Proportional to 259,539, 358,164.30 and 140,307

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Solution

The fourth proportional to 259,539, 358,164.30 and 140,307 is: 193,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,539 : 358,164.30 = 140,307 : x
  2. Step 2: Convert to fraction form
    259,539/358,164.30 = 140,307/x
  3. Step 3: Cross multiply
    259,539x = 358,164.30 × 140,307
  4. Step 4: Simplify right side
    259,539x = 50,252,958,440.10
  5. Step 5: Solve for x
    x = 50,252,958,440.10/259,539
  6. Step 6: Final answer
    x = 193,623.92

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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.