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Finding the Fourth Proportional to 379,782.85, 524,164.78 and 218,731.14

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Solution

The fourth proportional to 379,782.85, 524,164.78 and 218,731.14 is: 301,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,782.85 : 524,164.78 = 218,731.14 : x
  2. Step 2: Convert to fraction form
    379,782.85/524,164.78 = 218,731.14/x
  3. Step 3: Cross multiply
    379,782.85x = 524,164.78 × 218,731.14
  4. Step 4: Simplify right side
    379,782.85x = 114,651,159,877.25
  5. Step 5: Solve for x
    x = 114,651,159,877.25/379,782.85
  6. Step 6: Final answer
    x = 301,886.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.