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Finding the Fourth Proportional to 480,936.48, 721,470.32 and 200,388

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Solution

The fourth proportional to 480,936.48, 721,470.32 and 200,388 is: 300,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,936.48 : 721,470.32 = 200,388 : x
  2. Step 2: Convert to fraction form
    480,936.48/721,470.32 = 200,388/x
  3. Step 3: Cross multiply
    480,936.48x = 721,470.32 × 200,388
  4. Step 4: Simplify right side
    480,936.48x = 144,573,994,484.16
  5. Step 5: Solve for x
    x = 144,573,994,484.16/480,936.48
  6. Step 6: Final answer
    x = 300,609.33

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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.