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Finding the Fourth Proportional to 323,743.80, 485,469.90 and 146,159.40

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Solution

The fourth proportional to 323,743.80, 485,469.90 and 146,159.40 is: 219,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,743.80 : 485,469.90 = 146,159.40 : x
  2. Step 2: Convert to fraction form
    323,743.80/485,469.90 = 146,159.40/x
  3. Step 3: Cross multiply
    323,743.80x = 485,469.90 × 146,159.40
  4. Step 4: Simplify right side
    323,743.80x = 70,955,989,302.06
  5. Step 5: Solve for x
    x = 70,955,989,302.06/323,743.80
  6. Step 6: Final answer
    x = 219,173.28

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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.