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Finding the Fourth Proportional to 475,910.25, 713,788.79 and 138,871.77

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Solution

The fourth proportional to 475,910.25, 713,788.79 and 138,871.77 is: 208,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,910.25 : 713,788.79 = 138,871.77 : x
  2. Step 2: Convert to fraction form
    475,910.25/713,788.79 = 138,871.77/x
  3. Step 3: Cross multiply
    475,910.25x = 713,788.79 × 138,871.77
  4. Step 4: Simplify right side
    475,910.25x = 99,125,111,979.10
  5. Step 5: Solve for x
    x = 99,125,111,979.10/475,910.25
  6. Step 6: Final answer
    x = 208,285.31

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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.