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Finding the Fourth Proportional to 632,337.85, 872,647.11 and 345,857.95

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Solution

The fourth proportional to 632,337.85, 872,647.11 and 345,857.95 is: 477,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,337.85 : 872,647.11 = 345,857.95 : x
  2. Step 2: Convert to fraction form
    632,337.85/872,647.11 = 345,857.95/x
  3. Step 3: Cross multiply
    632,337.85x = 872,647.11 × 345,857.95
  4. Step 4: Simplify right side
    632,337.85x = 301,811,940,538.03
  5. Step 5: Solve for x
    x = 301,811,940,538.03/632,337.85
  6. Step 6: Final answer
    x = 477,295.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.