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Finding the Fourth Proportional to 512,140.44, 769,206.54 and 417,440.10

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Solution

The fourth proportional to 512,140.44, 769,206.54 and 417,440.10 is: 626,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,140.44 : 769,206.54 = 417,440.10 : x
  2. Step 2: Convert to fraction form
    512,140.44/769,206.54 = 417,440.10/x
  3. Step 3: Cross multiply
    512,140.44x = 769,206.54 × 417,440.10
  4. Step 4: Simplify right side
    512,140.44x = 321,097,654,978.25
  5. Step 5: Solve for x
    x = 321,097,654,978.25/512,140.44
  6. Step 6: Final answer
    x = 626,971.88

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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.