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Finding the Fourth Proportional to 408,665.00, 613,051.08 and 135,020.32

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Solution

The fourth proportional to 408,665.00, 613,051.08 and 135,020.32 is: 202,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,665.00 : 613,051.08 = 135,020.32 : x
  2. Step 2: Convert to fraction form
    408,665.00/613,051.08 = 135,020.32/x
  3. Step 3: Cross multiply
    408,665.00x = 613,051.08 × 135,020.32
  4. Step 4: Simplify right side
    408,665.00x = 82,774,351,718.48
  5. Step 5: Solve for x
    x = 82,774,351,718.48/408,665.00
  6. Step 6: Final answer
    x = 202,548.18

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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.