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Finding the Fourth Proportional to 354,233.62, 488,835.10 and 193,087.28

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Solution

The fourth proportional to 354,233.62, 488,835.10 and 193,087.28 is: 266,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,233.62 : 488,835.10 = 193,087.28 : x
  2. Step 2: Convert to fraction form
    354,233.62/488,835.10 = 193,087.28/x
  3. Step 3: Cross multiply
    354,233.62x = 488,835.10 × 193,087.28
  4. Step 4: Simplify right side
    354,233.62x = 94,387,839,827.53
  5. Step 5: Solve for x
    x = 94,387,839,827.53/354,233.62
  6. Step 6: Final answer
    x = 266,456.47

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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.