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Finding the Fourth Proportional to 468,309.78, 646,267.44 and 253,449.87

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Solution

The fourth proportional to 468,309.78, 646,267.44 and 253,449.87 is: 349,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,309.78 : 646,267.44 = 253,449.87 : x
  2. Step 2: Convert to fraction form
    468,309.78/646,267.44 = 253,449.87/x
  3. Step 3: Cross multiply
    468,309.78x = 646,267.44 × 253,449.87
  4. Step 4: Simplify right side
    468,309.78x = 163,796,398,653.23
  5. Step 5: Solve for x
    x = 163,796,398,653.23/468,309.78
  6. Step 6: Final answer
    x = 349,760.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.