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Finding the Fourth Proportional to 398,168, 549,471.84 and 219,320

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Solution

The fourth proportional to 398,168, 549,471.84 and 219,320 is: 302,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,168 : 549,471.84 = 219,320 : x
  2. Step 2: Convert to fraction form
    398,168/549,471.84 = 219,320/x
  3. Step 3: Cross multiply
    398,168x = 549,471.84 × 219,320
  4. Step 4: Simplify right side
    398,168x = 120,510,163,948.80
  5. Step 5: Solve for x
    x = 120,510,163,948.80/398,168
  6. Step 6: Final answer
    x = 302,661.60

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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.