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Finding the Fourth Proportional to 283,206.92, 390,620.50 and 192,404.32

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Solution

The fourth proportional to 283,206.92, 390,620.50 and 192,404.32 is: 265,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,206.92 : 390,620.50 = 192,404.32 : x
  2. Step 2: Convert to fraction form
    283,206.92/390,620.50 = 192,404.32/x
  3. Step 3: Cross multiply
    283,206.92x = 390,620.50 × 192,404.32
  4. Step 4: Simplify right side
    283,206.92x = 75,157,071,680.56
  5. Step 5: Solve for x
    x = 75,157,071,680.56/283,206.92
  6. Step 6: Final answer
    x = 265,378.66

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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.