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Finding the Fourth Proportional to 398,282.52, 549,629.64 and 219,434.52

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Solution

The fourth proportional to 398,282.52, 549,629.64 and 219,434.52 is: 302,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,282.52 : 549,629.64 = 219,434.52 : x
  2. Step 2: Convert to fraction form
    398,282.52/549,629.64 = 219,434.52/x
  3. Step 3: Cross multiply
    398,282.52x = 549,629.64 × 219,434.52
  4. Step 4: Simplify right side
    398,282.52x = 120,607,716,231.17
  5. Step 5: Solve for x
    x = 120,607,716,231.17/398,282.52
  6. Step 6: Final answer
    x = 302,819.51

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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.