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Finding the Fourth Proportional to 347,178.30, 520,378.65 and 147,464.70

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Solution

The fourth proportional to 347,178.30, 520,378.65 and 147,464.70 is: 221,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,178.30 : 520,378.65 = 147,464.70 : x
  2. Step 2: Convert to fraction form
    347,178.30/520,378.65 = 147,464.70/x
  3. Step 3: Cross multiply
    347,178.30x = 520,378.65 × 147,464.70
  4. Step 4: Simplify right side
    347,178.30x = 76,737,481,508.66
  5. Step 5: Solve for x
    x = 76,737,481,508.66/347,178.30
  6. Step 6: Final answer
    x = 221,031.91

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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.