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Finding the Fourth Proportional to 398,180, 549,488.43 and 219,332

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Solution

The fourth proportional to 398,180, 549,488.43 and 219,332 is: 302,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,180 : 549,488.43 = 219,332 : x
  2. Step 2: Convert to fraction form
    398,180/549,488.43 = 219,332/x
  3. Step 3: Cross multiply
    398,180x = 549,488.43 × 219,332
  4. Step 4: Simplify right side
    398,180x = 120,520,396,328.76
  5. Step 5: Solve for x
    x = 120,520,396,328.76/398,180
  6. Step 6: Final answer
    x = 302,678.18

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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.