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Finding the Fourth Proportional to 417,678.40, 626,517.60 and 122,190.40

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Solution

The fourth proportional to 417,678.40, 626,517.60 and 122,190.40 is: 183,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,678.40 : 626,517.60 = 122,190.40 : x
  2. Step 2: Convert to fraction form
    417,678.40/626,517.60 = 122,190.40/x
  3. Step 3: Cross multiply
    417,678.40x = 626,517.60 × 122,190.40
  4. Step 4: Simplify right side
    417,678.40x = 76,554,436,151.04
  5. Step 5: Solve for x
    x = 76,554,436,151.04/417,678.40
  6. Step 6: Final answer
    x = 183,285.60

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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.