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Finding the Fourth Proportional to 354,717.64, 489,571.14 and 338,773.96

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Solution

The fourth proportional to 354,717.64, 489,571.14 and 338,773.96 is: 467,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,717.64 : 489,571.14 = 338,773.96 : x
  2. Step 2: Convert to fraction form
    354,717.64/489,571.14 = 338,773.96/x
  3. Step 3: Cross multiply
    354,717.64x = 489,571.14 × 338,773.96
  4. Step 4: Simplify right side
    354,717.64x = 165,853,953,799.51
  5. Step 5: Solve for x
    x = 165,853,953,799.51/354,717.64
  6. Step 6: Final answer
    x = 467,566.13

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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.