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Finding the Fourth Proportional to 398,326.40, 549,512.64 and 269,223.68

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Solution

The fourth proportional to 398,326.40, 549,512.64 and 269,223.68 is: 371,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,326.40 : 549,512.64 = 269,223.68 : x
  2. Step 2: Convert to fraction form
    398,326.40/549,512.64 = 269,223.68/x
  3. Step 3: Cross multiply
    398,326.40x = 549,512.64 × 269,223.68
  4. Step 4: Simplify right side
    398,326.40x = 147,941,815,147.32
  5. Step 5: Solve for x
    x = 147,941,815,147.32/398,326.40
  6. Step 6: Final answer
    x = 371,408.51

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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.