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Finding the Fourth Proportional to 475,785.34, 713,608.55 and 138,735.43

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Solution

The fourth proportional to 475,785.34, 713,608.55 and 138,735.43 is: 208,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,785.34 : 713,608.55 = 138,735.43 : x
  2. Step 2: Convert to fraction form
    475,785.34/713,608.55 = 138,735.43/x
  3. Step 3: Cross multiply
    475,785.34x = 713,608.55 × 138,735.43
  4. Step 4: Simplify right side
    475,785.34x = 99,002,785,467.88
  5. Step 5: Solve for x
    x = 99,002,785,467.88/475,785.34
  6. Step 6: Final answer
    x = 208,082.89

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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.