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Finding the Fourth Proportional to 379,717.88, 524,027.07 and 209,952

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Solution

The fourth proportional to 379,717.88, 524,027.07 and 209,952 is: 289,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,717.88 : 524,027.07 = 209,952 : x
  2. Step 2: Convert to fraction form
    379,717.88/524,027.07 = 209,952/x
  3. Step 3: Cross multiply
    379,717.88x = 524,027.07 × 209,952
  4. Step 4: Simplify right side
    379,717.88x = 110,020,531,400.64
  5. Step 5: Solve for x
    x = 110,020,531,400.64/379,717.88
  6. Step 6: Final answer
    x = 289,742.83

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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.