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Finding the Fourth Proportional to 515,440.14, 773,150.67 and 211,769.88

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Solution

The fourth proportional to 515,440.14, 773,150.67 and 211,769.88 is: 317,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,440.14 : 773,150.67 = 211,769.88 : x
  2. Step 2: Convert to fraction form
    515,440.14/773,150.67 = 211,769.88/x
  3. Step 3: Cross multiply
    515,440.14x = 773,150.67 × 211,769.88
  4. Step 4: Simplify right side
    515,440.14x = 163,730,024,607.82
  5. Step 5: Solve for x
    x = 163,730,024,607.82/515,440.14
  6. Step 6: Final answer
    x = 317,650.90

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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.