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Finding the Fourth Proportional to 398,184, 549,493.92 and 219,336

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Solution

The fourth proportional to 398,184, 549,493.92 and 219,336 is: 302,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,184 : 549,493.92 = 219,336 : x
  2. Step 2: Convert to fraction form
    398,184/549,493.92 = 219,336/x
  3. Step 3: Cross multiply
    398,184x = 549,493.92 × 219,336
  4. Step 4: Simplify right side
    398,184x = 120,523,798,437.12
  5. Step 5: Solve for x
    x = 120,523,798,437.12/398,184
  6. Step 6: Final answer
    x = 302,683.68

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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.