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Finding the Fourth Proportional to 398,832.42, 550,390.48 and 217,548.24

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Solution

The fourth proportional to 398,832.42, 550,390.48 and 217,548.24 is: 300,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,832.42 : 550,390.48 = 217,548.24 : x
  2. Step 2: Convert to fraction form
    398,832.42/550,390.48 = 217,548.24/x
  3. Step 3: Cross multiply
    398,832.42x = 550,390.48 × 217,548.24
  4. Step 4: Simplify right side
    398,832.42x = 119,736,480,236.76
  5. Step 5: Solve for x
    x = 119,736,480,236.76/398,832.42
  6. Step 6: Final answer
    x = 300,217.52

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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.