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Finding the Fourth Proportional to 325,405.86, 487,921.90 and 173,415.81

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Solution

The fourth proportional to 325,405.86, 487,921.90 and 173,415.81 is: 260,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,405.86 : 487,921.90 = 173,415.81 : x
  2. Step 2: Convert to fraction form
    325,405.86/487,921.90 = 173,415.81/x
  3. Step 3: Cross multiply
    325,405.86x = 487,921.90 × 173,415.81
  4. Step 4: Simplify right side
    325,405.86x = 84,613,371,505.24
  5. Step 5: Solve for x
    x = 84,613,371,505.24/325,405.86
  6. Step 6: Final answer
    x = 260,024.12

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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.