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Finding the Fourth Proportional to 347,475.78, 520,856.80 and 197,395.61

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Solution

The fourth proportional to 347,475.78, 520,856.80 and 197,395.61 is: 295,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,475.78 : 520,856.80 = 197,395.61 : x
  2. Step 2: Convert to fraction form
    347,475.78/520,856.80 = 197,395.61/x
  3. Step 3: Cross multiply
    347,475.78x = 520,856.80 × 197,395.61
  4. Step 4: Simplify right side
    347,475.78x = 102,814,842,660.88
  5. Step 5: Solve for x
    x = 102,814,842,660.88/347,475.78
  6. Step 6: Final answer
    x = 295,890.67

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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.