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Finding the Fourth Proportional to 317,364.78, 476,042.10 and 127,820.64

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Solution

The fourth proportional to 317,364.78, 476,042.10 and 127,820.64 is: 191,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,364.78 : 476,042.10 = 127,820.64 : x
  2. Step 2: Convert to fraction form
    317,364.78/476,042.10 = 127,820.64/x
  3. Step 3: Cross multiply
    317,364.78x = 476,042.10 × 127,820.64
  4. Step 4: Simplify right side
    317,364.78x = 60,848,005,888.94
  5. Step 5: Solve for x
    x = 60,848,005,888.94/317,364.78
  6. Step 6: Final answer
    x = 191,728.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.