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Finding the Fourth Proportional to 408,664.56, 613,050.40 and 135,019.86

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Solution

The fourth proportional to 408,664.56, 613,050.40 and 135,019.86 is: 202,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,664.56 : 613,050.40 = 135,019.86 : x
  2. Step 2: Convert to fraction form
    408,664.56/613,050.40 = 135,019.86/x
  3. Step 3: Cross multiply
    408,664.56x = 613,050.40 × 135,019.86
  4. Step 4: Simplify right side
    408,664.56x = 82,773,979,180.94
  5. Step 5: Solve for x
    x = 82,773,979,180.94/408,664.56
  6. Step 6: Final answer
    x = 202,547.49

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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.