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Finding the Fourth Proportional to 417,385.29, 626,005.34 and 192,726.73

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Solution

The fourth proportional to 417,385.29, 626,005.34 and 192,726.73 is: 289,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,385.29 : 626,005.34 = 192,726.73 : x
  2. Step 2: Convert to fraction form
    417,385.29/626,005.34 = 192,726.73/x
  3. Step 3: Cross multiply
    417,385.29x = 626,005.34 × 192,726.73
  4. Step 4: Simplify right side
    417,385.29x = 120,647,962,140.74
  5. Step 5: Solve for x
    x = 120,647,962,140.74/417,385.29
  6. Step 6: Final answer
    x = 289,056.57

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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.