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Finding the Fourth Proportional to 387,978.02, 582,109.17 and 163,394.98

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Solution

The fourth proportional to 387,978.02, 582,109.17 and 163,394.98 is: 245,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,978.02 : 582,109.17 = 163,394.98 : x
  2. Step 2: Convert to fraction form
    387,978.02/582,109.17 = 163,394.98/x
  3. Step 3: Cross multiply
    387,978.02x = 582,109.17 × 163,394.98
  4. Step 4: Simplify right side
    387,978.02x = 95,113,716,189.97
  5. Step 5: Solve for x
    x = 95,113,716,189.97/387,978.02
  6. Step 6: Final answer
    x = 245,152.33

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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.