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Finding the Fourth Proportional to 342,446.64, 472,616.28 and 199,212.72

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Solution

The fourth proportional to 342,446.64, 472,616.28 and 199,212.72 is: 274,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,446.64 : 472,616.28 = 199,212.72 : x
  2. Step 2: Convert to fraction form
    342,446.64/472,616.28 = 199,212.72/x
  3. Step 3: Cross multiply
    342,446.64x = 472,616.28 × 199,212.72
  4. Step 4: Simplify right side
    342,446.64x = 94,151,174,655.08
  5. Step 5: Solve for x
    x = 94,151,174,655.08/342,446.64
  6. Step 6: Final answer
    x = 274,936.77

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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.