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Finding the Fourth Proportional to 342,720.63, 472,954.41 and 191,817.63

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Solution

The fourth proportional to 342,720.63, 472,954.41 and 191,817.63 is: 264,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,720.63 : 472,954.41 = 191,817.63 : x
  2. Step 2: Convert to fraction form
    342,720.63/472,954.41 = 191,817.63/x
  3. Step 3: Cross multiply
    342,720.63x = 472,954.41 × 191,817.63
  4. Step 4: Simplify right side
    342,720.63x = 90,720,994,024.25
  5. Step 5: Solve for x
    x = 90,720,994,024.25/342,720.63
  6. Step 6: Final answer
    x = 264,708.30

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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.