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Finding the Fourth Proportional to 417,649.85, 626,485.54 and 133,340.12

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Solution

The fourth proportional to 417,649.85, 626,485.54 and 133,340.12 is: 200,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,649.85 : 626,485.54 = 133,340.12 : x
  2. Step 2: Convert to fraction form
    417,649.85/626,485.54 = 133,340.12/x
  3. Step 3: Cross multiply
    417,649.85x = 626,485.54 × 133,340.12
  4. Step 4: Simplify right side
    417,649.85x = 83,535,653,616.09
  5. Step 5: Solve for x
    x = 83,535,653,616.09/417,649.85
  6. Step 6: Final answer
    x = 200,013.61

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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.