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Finding the Fourth Proportional to 388,071, 582,106.50 and 107,588.25

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Solution

The fourth proportional to 388,071, 582,106.50 and 107,588.25 is: 161,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,071 : 582,106.50 = 107,588.25 : x
  2. Step 2: Convert to fraction form
    388,071/582,106.50 = 107,588.25/x
  3. Step 3: Cross multiply
    388,071x = 582,106.50 × 107,588.25
  4. Step 4: Simplify right side
    388,071x = 62,627,819,648.63
  5. Step 5: Solve for x
    x = 62,627,819,648.63/388,071
  6. Step 6: Final answer
    x = 161,382.38

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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.