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Finding the Fourth Proportional to 410,981.04, 616,821.48 and 161,838

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Solution

The fourth proportional to 410,981.04, 616,821.48 and 161,838 is: 242,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,981.04 : 616,821.48 = 161,838 : x
  2. Step 2: Convert to fraction form
    410,981.04/616,821.48 = 161,838/x
  3. Step 3: Cross multiply
    410,981.04x = 616,821.48 × 161,838
  4. Step 4: Simplify right side
    410,981.04x = 99,825,154,680.24
  5. Step 5: Solve for x
    x = 99,825,154,680.24/410,981.04
  6. Step 6: Final answer
    x = 242,894.79

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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.