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Finding the Fourth Proportional to 390,064.41, 585,067.46 and 140,746.41

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Solution

The fourth proportional to 390,064.41, 585,067.46 and 140,746.41 is: 211,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,064.41 : 585,067.46 = 140,746.41 : x
  2. Step 2: Convert to fraction form
    390,064.41/585,067.46 = 140,746.41/x
  3. Step 3: Cross multiply
    390,064.41x = 585,067.46 × 140,746.41
  4. Step 4: Simplify right side
    390,064.41x = 82,346,143,899.09
  5. Step 5: Solve for x
    x = 82,346,143,899.09/390,064.41
  6. Step 6: Final answer
    x = 211,109.09

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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.