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Finding the Fourth Proportional to 859,634.56, 1,289,709.42 and 347,035.78

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Solution

The fourth proportional to 859,634.56, 1,289,709.42 and 347,035.78 is: 520,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,634.56 : 1,289,709.42 = 347,035.78 : x
  2. Step 2: Convert to fraction form
    859,634.56/1,289,709.42 = 347,035.78/x
  3. Step 3: Cross multiply
    859,634.56x = 1,289,709.42 × 347,035.78
  4. Step 4: Simplify right side
    859,634.56x = 447,575,314,543.05
  5. Step 5: Solve for x
    x = 447,575,314,543.05/859,634.56
  6. Step 6: Final answer
    x = 520,657.66

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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.