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Finding the Fourth Proportional to 484,101.20, 726,151.80 and 407,118.80

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Solution

The fourth proportional to 484,101.20, 726,151.80 and 407,118.80 is: 610,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,101.20 : 726,151.80 = 407,118.80 : x
  2. Step 2: Convert to fraction form
    484,101.20/726,151.80 = 407,118.80/x
  3. Step 3: Cross multiply
    484,101.20x = 726,151.80 × 407,118.80
  4. Step 4: Simplify right side
    484,101.20x = 295,630,049,433.84
  5. Step 5: Solve for x
    x = 295,630,049,433.84/484,101.20
  6. Step 6: Final answer
    x = 610,678.20

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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.