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Finding the Fourth Proportional to 398,082.32, 549,354.08 and 216,794.56

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Solution

The fourth proportional to 398,082.32, 549,354.08 and 216,794.56 is: 299,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,082.32 : 549,354.08 = 216,794.56 : x
  2. Step 2: Convert to fraction form
    398,082.32/549,354.08 = 216,794.56/x
  3. Step 3: Cross multiply
    398,082.32x = 549,354.08 × 216,794.56
  4. Step 4: Simplify right side
    398,082.32x = 119,096,976,057.81
  5. Step 5: Solve for x
    x = 119,096,976,057.81/398,082.32
  6. Step 6: Final answer
    x = 299,176.75

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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.