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Finding the Fourth Proportional to 259,575, 358,213.52 and 140,343

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Solution

The fourth proportional to 259,575, 358,213.52 and 140,343 is: 193,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,575 : 358,213.52 = 140,343 : x
  2. Step 2: Convert to fraction form
    259,575/358,213.52 = 140,343/x
  3. Step 3: Cross multiply
    259,575x = 358,213.52 × 140,343
  4. Step 4: Simplify right side
    259,575x = 50,272,760,037.36
  5. Step 5: Solve for x
    x = 50,272,760,037.36/259,575
  6. Step 6: Final answer
    x = 193,673.35

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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.