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Finding the Fourth Proportional to 388,390.08, 582,647.76 and 114,864

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Solution

The fourth proportional to 388,390.08, 582,647.76 and 114,864 is: 172,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,390.08 : 582,647.76 = 114,864 : x
  2. Step 2: Convert to fraction form
    388,390.08/582,647.76 = 114,864/x
  3. Step 3: Cross multiply
    388,390.08x = 582,647.76 × 114,864
  4. Step 4: Simplify right side
    388,390.08x = 66,925,252,304.64
  5. Step 5: Solve for x
    x = 66,925,252,304.64/388,390.08
  6. Step 6: Final answer
    x = 172,314.53

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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.