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Finding the Fourth Proportional to 259,560, 358,192.88 and 140,328

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Solution

The fourth proportional to 259,560, 358,192.88 and 140,328 is: 193,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,560 : 358,192.88 = 140,328 : x
  2. Step 2: Convert to fraction form
    259,560/358,192.88 = 140,328/x
  3. Step 3: Cross multiply
    259,560x = 358,192.88 × 140,328
  4. Step 4: Simplify right side
    259,560x = 50,264,490,464.64
  5. Step 5: Solve for x
    x = 50,264,490,464.64/259,560
  6. Step 6: Final answer
    x = 193,652.68

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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.