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Finding the Fourth Proportional to 398,167, 549,470.46 and 219,319

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Solution

The fourth proportional to 398,167, 549,470.46 and 219,319 is: 302,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,167 : 549,470.46 = 219,319 : x
  2. Step 2: Convert to fraction form
    398,167/549,470.46 = 219,319/x
  3. Step 3: Cross multiply
    398,167x = 549,470.46 × 219,319
  4. Step 4: Simplify right side
    398,167x = 120,509,311,816.74
  5. Step 5: Solve for x
    x = 120,509,311,816.74/398,167
  6. Step 6: Final answer
    x = 302,660.22

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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.