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Finding the Fourth Proportional to 475,908.75, 713,786.54 and 138,870.27

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Solution

The fourth proportional to 475,908.75, 713,786.54 and 138,870.27 is: 208,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,908.75 : 713,786.54 = 138,870.27 : x
  2. Step 2: Convert to fraction form
    475,908.75/713,786.54 = 138,870.27/x
  3. Step 3: Cross multiply
    475,908.75x = 713,786.54 × 138,870.27
  4. Step 4: Simplify right side
    475,908.75x = 99,123,728,837.81
  5. Step 5: Solve for x
    x = 99,123,728,837.81/475,908.75
  6. Step 6: Final answer
    x = 208,283.06

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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.