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Finding the Fourth Proportional to 408,906.19, 564,271 and 247,751.02

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Solution

The fourth proportional to 408,906.19, 564,271 and 247,751.02 is: 341,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906.19 : 564,271 = 247,751.02 : x
  2. Step 2: Convert to fraction form
    408,906.19/564,271 = 247,751.02/x
  3. Step 3: Cross multiply
    408,906.19x = 564,271 × 247,751.02
  4. Step 4: Simplify right side
    408,906.19x = 139,798,715,806.42
  5. Step 5: Solve for x
    x = 139,798,715,806.42/408,906.19
  6. Step 6: Final answer
    x = 341,884.57

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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.