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Finding the Fourth Proportional to 340,855.80, 511,283.70 and 100,978.35

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Solution

The fourth proportional to 340,855.80, 511,283.70 and 100,978.35 is: 151,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,855.80 : 511,283.70 = 100,978.35 : x
  2. Step 2: Convert to fraction form
    340,855.80/511,283.70 = 100,978.35/x
  3. Step 3: Cross multiply
    340,855.80x = 511,283.70 × 100,978.35
  4. Step 4: Simplify right side
    340,855.80x = 51,628,584,407.90
  5. Step 5: Solve for x
    x = 51,628,584,407.90/340,855.80
  6. Step 6: Final answer
    x = 151,467.53

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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.