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Finding the Fourth Proportional to 317,644.56, 476,460.84 and 128,100.96

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Solution

The fourth proportional to 317,644.56, 476,460.84 and 128,100.96 is: 192,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,644.56 : 476,460.84 = 128,100.96 : x
  2. Step 2: Convert to fraction form
    317,644.56/476,460.84 = 128,100.96/x
  3. Step 3: Cross multiply
    317,644.56x = 476,460.84 × 128,100.96
  4. Step 4: Simplify right side
    317,644.56x = 61,035,091,006.41
  5. Step 5: Solve for x
    x = 61,035,091,006.41/317,644.56
  6. Step 6: Final answer
    x = 192,149.02

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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.