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Finding the Fourth Proportional to 398,414.32, 549,811.77 and 219,566.32

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Solution

The fourth proportional to 398,414.32, 549,811.77 and 219,566.32 is: 303,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,414.32 : 549,811.77 = 219,566.32 : x
  2. Step 2: Convert to fraction form
    398,414.32/549,811.77 = 219,566.32/x
  3. Step 3: Cross multiply
    398,414.32x = 549,811.77 × 219,566.32
  4. Step 4: Simplify right side
    398,414.32x = 120,720,147,031.59
  5. Step 5: Solve for x
    x = 120,720,147,031.59/398,414.32
  6. Step 6: Final answer
    x = 303,001.53

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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.