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Finding the Fourth Proportional to 398,431.22, 549,819.03 and 217,139.30

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Solution

The fourth proportional to 398,431.22, 549,819.03 and 217,139.30 is: 299,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,431.22 : 549,819.03 = 217,139.30 : x
  2. Step 2: Convert to fraction form
    398,431.22/549,819.03 = 217,139.30/x
  3. Step 3: Cross multiply
    398,431.22x = 549,819.03 × 217,139.30
  4. Step 4: Simplify right side
    398,431.22x = 119,387,319,300.88
  5. Step 5: Solve for x
    x = 119,387,319,300.88/398,431.22
  6. Step 6: Final answer
    x = 299,643.49

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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.