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Finding the Fourth Proportional to 388,362.98, 582,684.74 and 135,680.78

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Solution

The fourth proportional to 388,362.98, 582,684.74 and 135,680.78 is: 203,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,362.98 : 582,684.74 = 135,680.78 : x
  2. Step 2: Convert to fraction form
    388,362.98/582,684.74 = 135,680.78/x
  3. Step 3: Cross multiply
    388,362.98x = 582,684.74 × 135,680.78
  4. Step 4: Simplify right side
    388,362.98x = 79,059,120,017.30
  5. Step 5: Solve for x
    x = 79,059,120,017.30/388,362.98
  6. Step 6: Final answer
    x = 203,570.18

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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.