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Finding the Fourth Proportional to 518,346.78, 779,891.85 and 308,142.06

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Solution

The fourth proportional to 518,346.78, 779,891.85 and 308,142.06 is: 463,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,346.78 : 779,891.85 = 308,142.06 : x
  2. Step 2: Convert to fraction form
    518,346.78/779,891.85 = 308,142.06/x
  3. Step 3: Cross multiply
    518,346.78x = 779,891.85 × 308,142.06
  4. Step 4: Simplify right side
    518,346.78x = 240,317,481,236.21
  5. Step 5: Solve for x
    x = 240,317,481,236.21/518,346.78
  6. Step 6: Final answer
    x = 463,622.98

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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.