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Finding the Fourth Proportional to 347,958.45, 522,101.70 and 259,384.95

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Solution

The fourth proportional to 347,958.45, 522,101.70 and 259,384.95 is: 389,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,958.45 : 522,101.70 = 259,384.95 : x
  2. Step 2: Convert to fraction form
    347,958.45/522,101.70 = 259,384.95/x
  3. Step 3: Cross multiply
    347,958.45x = 522,101.70 × 259,384.95
  4. Step 4: Simplify right side
    347,958.45x = 135,425,323,349.42
  5. Step 5: Solve for x
    x = 135,425,323,349.42/347,958.45
  6. Step 6: Final answer
    x = 389,199.70

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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.