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Finding the Fourth Proportional to 318,296.34, 477,444.63 and 81,639

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Solution

The fourth proportional to 318,296.34, 477,444.63 and 81,639 is: 122,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,296.34 : 477,444.63 = 81,639 : x
  2. Step 2: Convert to fraction form
    318,296.34/477,444.63 = 81,639/x
  3. Step 3: Cross multiply
    318,296.34x = 477,444.63 × 81,639
  4. Step 4: Simplify right side
    318,296.34x = 38,978,102,148.57
  5. Step 5: Solve for x
    x = 38,978,102,148.57/318,296.34
  6. Step 6: Final answer
    x = 122,458.53

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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.