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Finding the Fourth Proportional to 665,490.74, 998,404.50 and 185,718.48

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Solution

The fourth proportional to 665,490.74, 998,404.50 and 185,718.48 is: 278,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,490.74 : 998,404.50 = 185,718.48 : x
  2. Step 2: Convert to fraction form
    665,490.74/998,404.50 = 185,718.48/x
  3. Step 3: Cross multiply
    665,490.74x = 998,404.50 × 185,718.48
  4. Step 4: Simplify right side
    665,490.74x = 185,422,166,165.16
  5. Step 5: Solve for x
    x = 185,422,166,165.16/665,490.74
  6. Step 6: Final answer
    x = 278,624.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.