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Finding the Fourth Proportional to 342,419, 472,539.84 and 191,516

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Solution

The fourth proportional to 342,419, 472,539.84 and 191,516 is: 264,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,419 : 472,539.84 = 191,516 : x
  2. Step 2: Convert to fraction form
    342,419/472,539.84 = 191,516/x
  3. Step 3: Cross multiply
    342,419x = 472,539.84 × 191,516
  4. Step 4: Simplify right side
    342,419x = 90,498,939,997.44
  5. Step 5: Solve for x
    x = 90,498,939,997.44/342,419
  6. Step 6: Final answer
    x = 264,292.99

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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.