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Finding the Fourth Proportional to 484,719.20, 727,078.80 and 274,767.20

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Solution

The fourth proportional to 484,719.20, 727,078.80 and 274,767.20 is: 412,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,719.20 : 727,078.80 = 274,767.20 : x
  2. Step 2: Convert to fraction form
    484,719.20/727,078.80 = 274,767.20/x
  3. Step 3: Cross multiply
    484,719.20x = 727,078.80 × 274,767.20
  4. Step 4: Simplify right side
    484,719.20x = 199,777,406,055.36
  5. Step 5: Solve for x
    x = 199,777,406,055.36/484,719.20
  6. Step 6: Final answer
    x = 412,150.80

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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.