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Finding the Fourth Proportional to 388,550.84, 582,418 and 178,015.64

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Solution

The fourth proportional to 388,550.84, 582,418 and 178,015.64 is: 266,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,550.84 : 582,418 = 178,015.64 : x
  2. Step 2: Convert to fraction form
    388,550.84/582,418 = 178,015.64/x
  3. Step 3: Cross multiply
    388,550.84x = 582,418 × 178,015.64
  4. Step 4: Simplify right side
    388,550.84x = 103,679,513,017.52
  5. Step 5: Solve for x
    x = 103,679,513,017.52/388,550.84
  6. Step 6: Final answer
    x = 266,836.41

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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.