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Finding the Fourth Proportional to 208,216.32, 312,345.44 and 58,456.96

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Solution

The fourth proportional to 208,216.32, 312,345.44 and 58,456.96 is: 87,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,216.32 : 312,345.44 = 58,456.96 : x
  2. Step 2: Convert to fraction form
    208,216.32/312,345.44 = 58,456.96/x
  3. Step 3: Cross multiply
    208,216.32x = 312,345.44 × 58,456.96
  4. Step 4: Simplify right side
    208,216.32x = 18,258,764,892.26
  5. Step 5: Solve for x
    x = 18,258,764,892.26/208,216.32
  6. Step 6: Final answer
    x = 87,691.32

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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.