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Finding the Fourth Proportional to 417,811.20, 626,820.48 and 195,936

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Solution

The fourth proportional to 417,811.20, 626,820.48 and 195,936 is: 293,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,811.20 : 626,820.48 = 195,936 : x
  2. Step 2: Convert to fraction form
    417,811.20/626,820.48 = 195,936/x
  3. Step 3: Cross multiply
    417,811.20x = 626,820.48 × 195,936
  4. Step 4: Simplify right side
    417,811.20x = 122,816,697,569.28
  5. Step 5: Solve for x
    x = 122,816,697,569.28/417,811.20
  6. Step 6: Final answer
    x = 293,952.62

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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.