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Finding the Fourth Proportional to 259,624, 358,281.14 and 140,392

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Solution

The fourth proportional to 259,624, 358,281.14 and 140,392 is: 193,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,624 : 358,281.14 = 140,392 : x
  2. Step 2: Convert to fraction form
    259,624/358,281.14 = 140,392/x
  3. Step 3: Cross multiply
    259,624x = 358,281.14 × 140,392
  4. Step 4: Simplify right side
    259,624x = 50,299,805,806.88
  5. Step 5: Solve for x
    x = 50,299,805,806.88/259,624
  6. Step 6: Final answer
    x = 193,740.97

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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.