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Finding the Fourth Proportional to 398,858.50, 597,952.17 and 185,518.03

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Solution

The fourth proportional to 398,858.50, 597,952.17 and 185,518.03 is: 278,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,858.50 : 597,952.17 = 185,518.03 : x
  2. Step 2: Convert to fraction form
    398,858.50/597,952.17 = 185,518.03/x
  3. Step 3: Cross multiply
    398,858.50x = 597,952.17 × 185,518.03
  4. Step 4: Simplify right side
    398,858.50x = 110,930,908,612.63
  5. Step 5: Solve for x
    x = 110,930,908,612.63/398,858.50
  6. Step 6: Final answer
    x = 278,120.96

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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.