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Finding the Fourth Proportional to 665,494.31, 998,409.85 and 185,722.03

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Solution

The fourth proportional to 665,494.31, 998,409.85 and 185,722.03 is: 278,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,494.31 : 998,409.85 = 185,722.03 : x
  2. Step 2: Convert to fraction form
    665,494.31/998,409.85 = 185,722.03/x
  3. Step 3: Cross multiply
    665,494.31x = 998,409.85 × 185,722.03
  4. Step 4: Simplify right side
    665,494.31x = 185,426,704,897.70
  5. Step 5: Solve for x
    x = 185,426,704,897.70/665,494.31
  6. Step 6: Final answer
    x = 278,630.04

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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.