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Finding the Fourth Proportional to 398,000.52, 549,212.94 and 225,921.96

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Solution

The fourth proportional to 398,000.52, 549,212.94 and 225,921.96 is: 311,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,000.52 : 549,212.94 = 225,921.96 : x
  2. Step 2: Convert to fraction form
    398,000.52/549,212.94 = 225,921.96/x
  3. Step 3: Cross multiply
    398,000.52x = 549,212.94 × 225,921.96
  4. Step 4: Simplify right side
    398,000.52x = 124,079,263,862.16
  5. Step 5: Solve for x
    x = 124,079,263,862.16/398,000.52
  6. Step 6: Final answer
    x = 311,756.54

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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.