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Finding the Fourth Proportional to 398,007.52, 549,222.60 and 225,928.96

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Solution

The fourth proportional to 398,007.52, 549,222.60 and 225,928.96 is: 311,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,007.52 : 549,222.60 = 225,928.96 : x
  2. Step 2: Convert to fraction form
    398,007.52/549,222.60 = 225,928.96/x
  3. Step 3: Cross multiply
    398,007.52x = 549,222.60 × 225,928.96
  4. Step 4: Simplify right side
    398,007.52x = 124,085,290,826.50
  5. Step 5: Solve for x
    x = 124,085,290,826.50/398,007.52
  6. Step 6: Final answer
    x = 311,766.20

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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.