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Finding the Fourth Proportional to 305,149.85, 421,100.27 and 176,078.21

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Solution

The fourth proportional to 305,149.85, 421,100.27 and 176,078.21 is: 242,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,149.85 : 421,100.27 = 176,078.21 : x
  2. Step 2: Convert to fraction form
    305,149.85/421,100.27 = 176,078.21/x
  3. Step 3: Cross multiply
    305,149.85x = 421,100.27 × 176,078.21
  4. Step 4: Simplify right side
    305,149.85x = 74,146,579,446.52
  5. Step 5: Solve for x
    x = 74,146,579,446.52/305,149.85
  6. Step 6: Final answer
    x = 242,984.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.