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Finding the Fourth Proportional to 417,391.79, 626,133.65 and 133,016.18

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Solution

The fourth proportional to 417,391.79, 626,133.65 and 133,016.18 is: 199,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,391.79 : 626,133.65 = 133,016.18 : x
  2. Step 2: Convert to fraction form
    417,391.79/626,133.65 = 133,016.18/x
  3. Step 3: Cross multiply
    417,391.79x = 626,133.65 × 133,016.18
  4. Step 4: Simplify right side
    417,391.79x = 83,285,902,496.71
  5. Step 5: Solve for x
    x = 83,285,902,496.71/417,391.79
  6. Step 6: Final answer
    x = 199,538.91

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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.