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Finding the Fourth Proportional to 379,182.06, 523,217.88 and 217,978.29

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Solution

The fourth proportional to 379,182.06, 523,217.88 and 217,978.29 is: 300,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,182.06 : 523,217.88 = 217,978.29 : x
  2. Step 2: Convert to fraction form
    379,182.06/523,217.88 = 217,978.29/x
  3. Step 3: Cross multiply
    379,182.06x = 523,217.88 × 217,978.29
  4. Step 4: Simplify right side
    379,182.06x = 114,050,138,779.83
  5. Step 5: Solve for x
    x = 114,050,138,779.83/379,182.06
  6. Step 6: Final answer
    x = 300,779.36

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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.