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Finding the Fourth Proportional to 390,508.58, 585,856.31 and 137,845.77

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Solution

The fourth proportional to 390,508.58, 585,856.31 and 137,845.77 is: 206,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,508.58 : 585,856.31 = 137,845.77 : x
  2. Step 2: Convert to fraction form
    390,508.58/585,856.31 = 137,845.77/x
  3. Step 3: Cross multiply
    390,508.58x = 585,856.31 × 137,845.77
  4. Step 4: Simplify right side
    390,508.58x = 80,757,813,472.08
  5. Step 5: Solve for x
    x = 80,757,813,472.08/390,508.58
  6. Step 6: Final answer
    x = 206,801.64

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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.