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Finding the Fourth Proportional to 398,513.09, 549,927.98 and 226,408.49

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Solution

The fourth proportional to 398,513.09, 549,927.98 and 226,408.49 is: 312,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,513.09 : 549,927.98 = 226,408.49 : x
  2. Step 2: Convert to fraction form
    398,513.09/549,927.98 = 226,408.49/x
  3. Step 3: Cross multiply
    398,513.09x = 549,927.98 × 226,408.49
  4. Step 4: Simplify right side
    398,513.09x = 124,508,365,410.35
  5. Step 5: Solve for x
    x = 124,508,365,410.35/398,513.09
  6. Step 6: Final answer
    x = 312,432.31

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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.