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Finding the Fourth Proportional to 392,415, 541,550.48 and 231,276.84

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Solution

The fourth proportional to 392,415, 541,550.48 and 231,276.84 is: 319,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,415 : 541,550.48 = 231,276.84 : x
  2. Step 2: Convert to fraction form
    392,415/541,550.48 = 231,276.84/x
  3. Step 3: Cross multiply
    392,415x = 541,550.48 × 231,276.84
  4. Step 4: Simplify right side
    392,415x = 125,248,083,714.88
  5. Step 5: Solve for x
    x = 125,248,083,714.88/392,415
  6. Step 6: Final answer
    x = 319,172.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.