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Finding the Fourth Proportional to 408,863.40, 613,420.74 and 209,323.86

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Solution

The fourth proportional to 408,863.40, 613,420.74 and 209,323.86 is: 314,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,863.40 : 613,420.74 = 209,323.86 : x
  2. Step 2: Convert to fraction form
    408,863.40/613,420.74 = 209,323.86/x
  3. Step 3: Cross multiply
    408,863.40x = 613,420.74 × 209,323.86
  4. Step 4: Simplify right side
    408,863.40x = 128,403,597,100.86
  5. Step 5: Solve for x
    x = 128,403,597,100.86/408,863.40
  6. Step 6: Final answer
    x = 314,050.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.