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Finding the Fourth Proportional to 345,359.35, 517,907.80 and 165,259.90

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Solution

The fourth proportional to 345,359.35, 517,907.80 and 165,259.90 is: 247,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,359.35 : 517,907.80 = 165,259.90 : x
  2. Step 2: Convert to fraction form
    345,359.35/517,907.80 = 165,259.90/x
  3. Step 3: Cross multiply
    345,359.35x = 517,907.80 × 165,259.90
  4. Step 4: Simplify right side
    345,359.35x = 85,589,391,237.22
  5. Step 5: Solve for x
    x = 85,589,391,237.22/345,359.35
  6. Step 6: Final answer
    x = 247,827.06

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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.