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Finding the Fourth Proportional to 398,860.13, 597,954.60 and 185,519.63

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Solution

The fourth proportional to 398,860.13, 597,954.60 and 185,519.63 is: 278,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,860.13 : 597,954.60 = 185,519.63 : x
  2. Step 2: Convert to fraction form
    398,860.13/597,954.60 = 185,519.63/x
  3. Step 3: Cross multiply
    398,860.13x = 597,954.60 × 185,519.63
  4. Step 4: Simplify right side
    398,860.13x = 110,932,313,159.03
  5. Step 5: Solve for x
    x = 110,932,313,159.03/398,860.13
  6. Step 6: Final answer
    x = 278,123.35

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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.