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Finding the Fourth Proportional to 398,431.73, 549,819.72 and 217,139.75

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Solution

The fourth proportional to 398,431.73, 549,819.72 and 217,139.75 is: 299,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,431.73 : 549,819.72 = 217,139.75 : x
  2. Step 2: Convert to fraction form
    398,431.73/549,819.72 = 217,139.75/x
  3. Step 3: Cross multiply
    398,431.73x = 549,819.72 × 217,139.75
  4. Step 4: Simplify right side
    398,431.73x = 119,387,713,796.77
  5. Step 5: Solve for x
    x = 119,387,713,796.77/398,431.73
  6. Step 6: Final answer
    x = 299,644.10

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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.