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Finding the Fourth Proportional to 408,610.46, 613,484.31 and 209,068.58

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Solution

The fourth proportional to 408,610.46, 613,484.31 and 209,068.58 is: 313,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,610.46 : 613,484.31 = 209,068.58 : x
  2. Step 2: Convert to fraction form
    408,610.46/613,484.31 = 209,068.58/x
  3. Step 3: Cross multiply
    408,610.46x = 613,484.31 × 209,068.58
  4. Step 4: Simplify right side
    408,610.46x = 128,260,293,543.98
  5. Step 5: Solve for x
    x = 128,260,293,543.98/408,610.46
  6. Step 6: Final answer
    x = 313,893.81

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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.