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Finding the Fourth Proportional to 398,469.55, 549,888.19 and 226,387.82

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Solution

The fourth proportional to 398,469.55, 549,888.19 and 226,387.82 is: 312,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,469.55 : 549,888.19 = 226,387.82 : x
  2. Step 2: Convert to fraction form
    398,469.55/549,888.19 = 226,387.82/x
  3. Step 3: Cross multiply
    398,469.55x = 549,888.19 × 226,387.82
  4. Step 4: Simplify right side
    398,469.55x = 124,487,988,577.85
  5. Step 5: Solve for x
    x = 124,487,988,577.85/398,469.55
  6. Step 6: Final answer
    x = 312,415.31

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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.