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Finding the Fourth Proportional to 416,740, 625,213.68 and 121,252

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Solution

The fourth proportional to 416,740, 625,213.68 and 121,252 is: 181,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,740 : 625,213.68 = 121,252 : x
  2. Step 2: Convert to fraction form
    416,740/625,213.68 = 121,252/x
  3. Step 3: Cross multiply
    416,740x = 625,213.68 × 121,252
  4. Step 4: Simplify right side
    416,740x = 75,808,409,127.36
  5. Step 5: Solve for x
    x = 75,808,409,127.36/416,740
  6. Step 6: Final answer
    x = 181,908.17

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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.