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Finding the Fourth Proportional to 398,408.22, 549,803.44 and 217,120.20

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Solution

The fourth proportional to 398,408.22, 549,803.44 and 217,120.20 is: 299,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,408.22 : 549,803.44 = 217,120.20 : x
  2. Step 2: Convert to fraction form
    398,408.22/549,803.44 = 217,120.20/x
  3. Step 3: Cross multiply
    398,408.22x = 549,803.44 × 217,120.20
  4. Step 4: Simplify right side
    398,408.22x = 119,373,432,853.49
  5. Step 5: Solve for x
    x = 119,373,432,853.49/398,408.22
  6. Step 6: Final answer
    x = 299,625.93

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1.5x scale

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.