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Finding the Fourth Proportional to 357,721.78, 535,858.06 and 165,322.85

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Solution

The fourth proportional to 357,721.78, 535,858.06 and 165,322.85 is: 247,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,721.78 : 535,858.06 = 165,322.85 : x
  2. Step 2: Convert to fraction form
    357,721.78/535,858.06 = 165,322.85/x
  3. Step 3: Cross multiply
    357,721.78x = 535,858.06 × 165,322.85
  4. Step 4: Simplify right side
    357,721.78x = 88,589,579,934.18
  5. Step 5: Solve for x
    x = 88,589,579,934.18/357,721.78
  6. Step 6: Final answer
    x = 247,649.39

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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.