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Finding the Fourth Proportional to 345,779.12, 517,779.48 and 277,992.56

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Solution

The fourth proportional to 345,779.12, 517,779.48 and 277,992.56 is: 416,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,779.12 : 517,779.48 = 277,992.56 : x
  2. Step 2: Convert to fraction form
    345,779.12/517,779.48 = 277,992.56/x
  3. Step 3: Cross multiply
    345,779.12x = 517,779.48 × 277,992.56
  4. Step 4: Simplify right side
    345,779.12x = 143,938,843,160.67
  5. Step 5: Solve for x
    x = 143,938,843,160.67/345,779.12
  6. Step 6: Final answer
    x = 416,273.96

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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.