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Finding the Fourth Proportional to 398,217.78, 549,179.73 and 263,848.50

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Solution

The fourth proportional to 398,217.78, 549,179.73 and 263,848.50 is: 363,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,217.78 : 549,179.73 = 263,848.50 : x
  2. Step 2: Convert to fraction form
    398,217.78/549,179.73 = 263,848.50/x
  3. Step 3: Cross multiply
    398,217.78x = 549,179.73 × 263,848.50
  4. Step 4: Simplify right side
    398,217.78x = 144,900,247,990.91
  5. Step 5: Solve for x
    x = 144,900,247,990.91/398,217.78
  6. Step 6: Final answer
    x = 363,871.87

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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.