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Finding the Fourth Proportional to 411,991.52, 617,831.76 and 190,220

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Solution

The fourth proportional to 411,991.52, 617,831.76 and 190,220 is: 285,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,991.52 : 617,831.76 = 190,220 : x
  2. Step 2: Convert to fraction form
    411,991.52/617,831.76 = 190,220/x
  3. Step 3: Cross multiply
    411,991.52x = 617,831.76 × 190,220
  4. Step 4: Simplify right side
    411,991.52x = 117,523,957,387.20
  5. Step 5: Solve for x
    x = 117,523,957,387.20/411,991.52
  6. Step 6: Final answer
    x = 285,258.20

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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.