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Finding the Fourth Proportional to 354,178.33, 488,952.99 and 284,512.86

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Solution

The fourth proportional to 354,178.33, 488,952.99 and 284,512.86 is: 392,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,178.33 : 488,952.99 = 284,512.86 : x
  2. Step 2: Convert to fraction form
    354,178.33/488,952.99 = 284,512.86/x
  3. Step 3: Cross multiply
    354,178.33x = 488,952.99 × 284,512.86
  4. Step 4: Simplify right side
    354,178.33x = 139,113,413,590.45
  5. Step 5: Solve for x
    x = 139,113,413,590.45/354,178.33
  6. Step 6: Final answer
    x = 392,777.88

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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.