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Finding the Fourth Proportional to 469,889.47, 648,447.75 and 255,029.54

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Solution

The fourth proportional to 469,889.47, 648,447.75 and 255,029.54 is: 351,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,889.47 : 648,447.75 = 255,029.54 : x
  2. Step 2: Convert to fraction form
    469,889.47/648,447.75 = 255,029.54/x
  3. Step 3: Cross multiply
    469,889.47x = 648,447.75 × 255,029.54
  4. Step 4: Simplify right side
    469,889.47x = 165,373,329,370.14
  5. Step 5: Solve for x
    x = 165,373,329,370.14/469,889.47
  6. Step 6: Final answer
    x = 351,940.91

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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.