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Finding the Fourth Proportional to 398,514.56, 549,933.57 and 217,222.52

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Solution

The fourth proportional to 398,514.56, 549,933.57 and 217,222.52 is: 299,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,514.56 : 549,933.57 = 217,222.52 : x
  2. Step 2: Convert to fraction form
    398,514.56/549,933.57 = 217,222.52/x
  3. Step 3: Cross multiply
    398,514.56x = 549,933.57 × 217,222.52
  4. Step 4: Simplify right side
    398,514.56x = 119,457,953,158.33
  5. Step 5: Solve for x
    x = 119,457,953,158.33/398,514.56
  6. Step 6: Final answer
    x = 299,758.07

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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.