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Finding the Fourth Proportional to 340,687.65, 511,106.28 and 100,782.77

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Solution

The fourth proportional to 340,687.65, 511,106.28 and 100,782.77 is: 151,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,687.65 : 511,106.28 = 100,782.77 : x
  2. Step 2: Convert to fraction form
    340,687.65/511,106.28 = 100,782.77/x
  3. Step 3: Cross multiply
    340,687.65x = 511,106.28 × 100,782.77
  4. Step 4: Simplify right side
    340,687.65x = 51,510,706,662.80
  5. Step 5: Solve for x
    x = 51,510,706,662.80/340,687.65
  6. Step 6: Final answer
    x = 151,196.28

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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.