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Finding the Fourth Proportional to 347,149.80, 520,765.20 and 110,516.40

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Solution

The fourth proportional to 347,149.80, 520,765.20 and 110,516.40 is: 165,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,149.80 : 520,765.20 = 110,516.40 : x
  2. Step 2: Convert to fraction form
    347,149.80/520,765.20 = 110,516.40/x
  3. Step 3: Cross multiply
    347,149.80x = 520,765.20 × 110,516.40
  4. Step 4: Simplify right side
    347,149.80x = 57,553,095,149.28
  5. Step 5: Solve for x
    x = 57,553,095,149.28/347,149.80
  6. Step 6: Final answer
    x = 165,787.49

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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.