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Finding the Fourth Proportional to 665,475.92, 998,199.30 and 185,690.94

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Solution

The fourth proportional to 665,475.92, 998,199.30 and 185,690.94 is: 278,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,475.92 : 998,199.30 = 185,690.94 : x
  2. Step 2: Convert to fraction form
    665,475.92/998,199.30 = 185,690.94/x
  3. Step 3: Cross multiply
    665,475.92x = 998,199.30 × 185,690.94
  4. Step 4: Simplify right side
    665,475.92x = 185,356,566,324.34
  5. Step 5: Solve for x
    x = 185,356,566,324.34/665,475.92
  6. Step 6: Final answer
    x = 278,532.34

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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.