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Finding the Fourth Proportional to 402,216.90, 603,665.55 and 165,729.30

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Solution

The fourth proportional to 402,216.90, 603,665.55 and 165,729.30 is: 248,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,216.90 : 603,665.55 = 165,729.30 : x
  2. Step 2: Convert to fraction form
    402,216.90/603,665.55 = 165,729.30/x
  3. Step 3: Cross multiply
    402,216.90x = 603,665.55 × 165,729.30
  4. Step 4: Simplify right side
    402,216.90x = 100,045,069,035.62
  5. Step 5: Solve for x
    x = 100,045,069,035.62/402,216.90
  6. Step 6: Final answer
    x = 248,734.13

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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.