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Finding the Fourth Proportional to 398,358.48, 597,714.27 and 208,773.75

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Solution

The fourth proportional to 398,358.48, 597,714.27 and 208,773.75 is: 313,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,358.48 : 597,714.27 = 208,773.75 : x
  2. Step 2: Convert to fraction form
    398,358.48/597,714.27 = 208,773.75/x
  3. Step 3: Cross multiply
    398,358.48x = 597,714.27 × 208,773.75
  4. Step 4: Simplify right side
    398,358.48x = 124,787,049,576.41
  5. Step 5: Solve for x
    x = 124,787,049,576.41/398,358.48
  6. Step 6: Final answer
    x = 313,253.15

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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.