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Finding the Fourth Proportional to 355,061.96, 489,988.82 and 202,092.64

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Solution

The fourth proportional to 355,061.96, 489,988.82 and 202,092.64 is: 278,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,061.96 : 489,988.82 = 202,092.64 : x
  2. Step 2: Convert to fraction form
    355,061.96/489,988.82 = 202,092.64/x
  3. Step 3: Cross multiply
    355,061.96x = 489,988.82 × 202,092.64
  4. Step 4: Simplify right side
    355,061.96x = 99,023,134,204.28
  5. Step 5: Solve for x
    x = 99,023,134,204.28/355,061.96
  6. Step 6: Final answer
    x = 278,889.73

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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.