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Finding the Fourth Proportional to 402,401.52, 603,728.64 and 165,855.60

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Solution

The fourth proportional to 402,401.52, 603,728.64 and 165,855.60 is: 248,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,401.52 : 603,728.64 = 165,855.60 : x
  2. Step 2: Convert to fraction form
    402,401.52/603,728.64 = 165,855.60/x
  3. Step 3: Cross multiply
    402,401.52x = 603,728.64 × 165,855.60
  4. Step 4: Simplify right side
    402,401.52x = 100,131,775,824.38
  5. Step 5: Solve for x
    x = 100,131,775,824.38/402,401.52
  6. Step 6: Final answer
    x = 248,835.48

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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.