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Finding the Fourth Proportional to 354,132.79, 488,583.32 and 216,261.43

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Solution

The fourth proportional to 354,132.79, 488,583.32 and 216,261.43 is: 298,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,132.79 : 488,583.32 = 216,261.43 : x
  2. Step 2: Convert to fraction form
    354,132.79/488,583.32 = 216,261.43/x
  3. Step 3: Cross multiply
    354,132.79x = 488,583.32 × 216,261.43
  4. Step 4: Simplify right side
    354,132.79x = 105,661,725,154.58
  5. Step 5: Solve for x
    x = 105,661,725,154.58/354,132.79
  6. Step 6: Final answer
    x = 298,367.53

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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.