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Finding the Fourth Proportional to 498,144, 747,222.48 and 165,720

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Solution

The fourth proportional to 498,144, 747,222.48 and 165,720 is: 248,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,144 : 747,222.48 = 165,720 : x
  2. Step 2: Convert to fraction form
    498,144/747,222.48 = 165,720/x
  3. Step 3: Cross multiply
    498,144x = 747,222.48 × 165,720
  4. Step 4: Simplify right side
    498,144x = 123,829,709,385.60
  5. Step 5: Solve for x
    x = 123,829,709,385.60/498,144
  6. Step 6: Final answer
    x = 248,582.16

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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.