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Finding the Fourth Proportional to 515,809.20, 773,713.80 and 141,832.20

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Solution

The fourth proportional to 515,809.20, 773,713.80 and 141,832.20 is: 212,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,809.20 : 773,713.80 = 141,832.20 : x
  2. Step 2: Convert to fraction form
    515,809.20/773,713.80 = 141,832.20/x
  3. Step 3: Cross multiply
    515,809.20x = 773,713.80 × 141,832.20
  4. Step 4: Simplify right side
    515,809.20x = 109,737,530,424.36
  5. Step 5: Solve for x
    x = 109,737,530,424.36/515,809.20
  6. Step 6: Final answer
    x = 212,748.30

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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.