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Finding the Fourth Proportional to 487,090.51, 729,994.24 and 206,260.27

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Solution

The fourth proportional to 487,090.51, 729,994.24 and 206,260.27 is: 309,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,090.51 : 729,994.24 = 206,260.27 : x
  2. Step 2: Convert to fraction form
    487,090.51/729,994.24 = 206,260.27/x
  3. Step 3: Cross multiply
    487,090.51x = 729,994.24 × 206,260.27
  4. Step 4: Simplify right side
    487,090.51x = 150,568,808,009.54
  5. Step 5: Solve for x
    x = 150,568,808,009.54/487,090.51
  6. Step 6: Final answer
    x = 309,118.75

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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.