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Finding the Fourth Proportional to 259,854, 358,598.52 and 140,622

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Solution

The fourth proportional to 259,854, 358,598.52 and 140,622 is: 194,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,854 : 358,598.52 = 140,622 : x
  2. Step 2: Convert to fraction form
    259,854/358,598.52 = 140,622/x
  3. Step 3: Cross multiply
    259,854x = 358,598.52 × 140,622
  4. Step 4: Simplify right side
    259,854x = 50,426,841,079.44
  5. Step 5: Solve for x
    x = 50,426,841,079.44/259,854
  6. Step 6: Final answer
    x = 194,058.36

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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.