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Finding the Fourth Proportional to 398,158.85, 549,439.80 and 226,054.25

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Solution

The fourth proportional to 398,158.85, 549,439.80 and 226,054.25 is: 311,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,158.85 : 549,439.80 = 226,054.25 : x
  2. Step 2: Convert to fraction form
    398,158.85/549,439.80 = 226,054.25/x
  3. Step 3: Cross multiply
    398,158.85x = 549,439.80 × 226,054.25
  4. Step 4: Simplify right side
    398,158.85x = 124,203,200,374.65
  5. Step 5: Solve for x
    x = 124,203,200,374.65/398,158.85
  6. Step 6: Final answer
    x = 311,943.84

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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.