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Finding the Fourth Proportional to 475,921.56, 713,805.60 and 138,883.08

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Solution

The fourth proportional to 475,921.56, 713,805.60 and 138,883.08 is: 208,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,921.56 : 713,805.60 = 138,883.08 : x
  2. Step 2: Convert to fraction form
    475,921.56/713,805.60 = 138,883.08/x
  3. Step 3: Cross multiply
    475,921.56x = 713,805.60 × 138,883.08
  4. Step 4: Simplify right side
    475,921.56x = 99,135,520,249.25
  5. Step 5: Solve for x
    x = 99,135,520,249.25/475,921.56
  6. Step 6: Final answer
    x = 208,302.23

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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.