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Finding the Fourth Proportional to 484,764.30, 725,418.45 and 307,356.30

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Solution

The fourth proportional to 484,764.30, 725,418.45 and 307,356.30 is: 459,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,764.30 : 725,418.45 = 307,356.30 : x
  2. Step 2: Convert to fraction form
    484,764.30/725,418.45 = 307,356.30/x
  3. Step 3: Cross multiply
    484,764.30x = 725,418.45 × 307,356.30
  4. Step 4: Simplify right side
    484,764.30x = 222,961,930,743.74
  5. Step 5: Solve for x
    x = 222,961,930,743.74/484,764.30
  6. Step 6: Final answer
    x = 459,938.84

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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.