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Finding the Fourth Proportional to 498,202.62, 687,339.96 and 383,516.34

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Solution

The fourth proportional to 498,202.62, 687,339.96 and 383,516.34 is: 529,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,202.62 : 687,339.96 = 383,516.34 : x
  2. Step 2: Convert to fraction form
    498,202.62/687,339.96 = 383,516.34/x
  3. Step 3: Cross multiply
    498,202.62x = 687,339.96 × 383,516.34
  4. Step 4: Simplify right side
    498,202.62x = 263,606,105,794.95
  5. Step 5: Solve for x
    x = 263,606,105,794.95/498,202.62
  6. Step 6: Final answer
    x = 529,114.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.