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Finding the Fourth Proportional to 325,221.14, 487,831.71 and 214,387.22

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Solution

The fourth proportional to 325,221.14, 487,831.71 and 214,387.22 is: 321,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,221.14 : 487,831.71 = 214,387.22 : x
  2. Step 2: Convert to fraction form
    325,221.14/487,831.71 = 214,387.22/x
  3. Step 3: Cross multiply
    325,221.14x = 487,831.71 × 214,387.22
  4. Step 4: Simplify right side
    325,221.14x = 104,584,881,695.59
  5. Step 5: Solve for x
    x = 104,584,881,695.59/325,221.14
  6. Step 6: Final answer
    x = 321,580.83

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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.