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Finding the Fourth Proportional to 398,858.63, 597,952.35 and 185,518.13

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Solution

The fourth proportional to 398,858.63, 597,952.35 and 185,518.13 is: 278,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,858.63 : 597,952.35 = 185,518.13 : x
  2. Step 2: Convert to fraction form
    398,858.63/597,952.35 = 185,518.13/x
  3. Step 3: Cross multiply
    398,858.63x = 597,952.35 × 185,518.13
  4. Step 4: Simplify right side
    398,858.63x = 110,930,998,811.34
  5. Step 5: Solve for x
    x = 110,930,998,811.34/398,858.63
  6. Step 6: Final answer
    x = 278,121.10

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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.