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Finding the Fourth Proportional to 521,714.94, 782,839.29 and 248,470.47

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Solution

The fourth proportional to 521,714.94, 782,839.29 and 248,470.47 is: 372,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,714.94 : 782,839.29 = 248,470.47 : x
  2. Step 2: Convert to fraction form
    521,714.94/782,839.29 = 248,470.47/x
  3. Step 3: Cross multiply
    521,714.94x = 782,839.29 × 248,470.47
  4. Step 4: Simplify right side
    521,714.94x = 194,512,446,320.77
  5. Step 5: Solve for x
    x = 194,512,446,320.77/521,714.94
  6. Step 6: Final answer
    x = 372,832.81

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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.