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Finding the Fourth Proportional to 398,121, 549,406.98 and 219,273

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Solution

The fourth proportional to 398,121, 549,406.98 and 219,273 is: 302,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,121 : 549,406.98 = 219,273 : x
  2. Step 2: Convert to fraction form
    398,121/549,406.98 = 219,273/x
  3. Step 3: Cross multiply
    398,121x = 549,406.98 × 219,273
  4. Step 4: Simplify right side
    398,121x = 120,470,116,725.54
  5. Step 5: Solve for x
    x = 120,470,116,725.54/398,121
  6. Step 6: Final answer
    x = 302,596.74

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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.