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Finding the Fourth Proportional to 398,085.57, 597,229.50 and 117,602.82

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Solution

The fourth proportional to 398,085.57, 597,229.50 and 117,602.82 is: 176,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,085.57 : 597,229.50 = 117,602.82 : x
  2. Step 2: Convert to fraction form
    398,085.57/597,229.50 = 117,602.82/x
  3. Step 3: Cross multiply
    398,085.57x = 597,229.50 × 117,602.82
  4. Step 4: Simplify right side
    398,085.57x = 70,235,873,387.19
  5. Step 5: Solve for x
    x = 70,235,873,387.19/398,085.57
  6. Step 6: Final answer
    x = 176,434.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.