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Finding the Fourth Proportional to 462,796.96, 694,059.12 and 209,931.20

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Solution

The fourth proportional to 462,796.96, 694,059.12 and 209,931.20 is: 314,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,796.96 : 694,059.12 = 209,931.20 : x
  2. Step 2: Convert to fraction form
    462,796.96/694,059.12 = 209,931.20/x
  3. Step 3: Cross multiply
    462,796.96x = 694,059.12 × 209,931.20
  4. Step 4: Simplify right side
    462,796.96x = 145,704,663,932.54
  5. Step 5: Solve for x
    x = 145,704,663,932.54/462,796.96
  6. Step 6: Final answer
    x = 314,834.96

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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.