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Finding the Fourth Proportional to 259,617, 358,271.48 and 140,385

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Solution

The fourth proportional to 259,617, 358,271.48 and 140,385 is: 193,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,617 : 358,271.48 = 140,385 : x
  2. Step 2: Convert to fraction form
    259,617/358,271.48 = 140,385/x
  3. Step 3: Cross multiply
    259,617x = 358,271.48 × 140,385
  4. Step 4: Simplify right side
    259,617x = 50,295,941,719.80
  5. Step 5: Solve for x
    x = 50,295,941,719.80/259,617
  6. Step 6: Final answer
    x = 193,731.31

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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.