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Finding the Fourth Proportional to 353,408.90, 487,693.17 and 192,259.82

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Solution

The fourth proportional to 353,408.90, 487,693.17 and 192,259.82 is: 265,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,408.90 : 487,693.17 = 192,259.82 : x
  2. Step 2: Convert to fraction form
    353,408.90/487,693.17 = 192,259.82/x
  3. Step 3: Cross multiply
    353,408.90x = 487,693.17 × 192,259.82
  4. Step 4: Simplify right side
    353,408.90x = 93,763,801,079.43
  5. Step 5: Solve for x
    x = 93,763,801,079.43/353,408.90
  6. Step 6: Final answer
    x = 265,312.51

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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.