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Finding the Fourth Proportional to 521,658.63, 782,462.16 and 305,639.73

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Solution

The fourth proportional to 521,658.63, 782,462.16 and 305,639.73 is: 458,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,658.63 : 782,462.16 = 305,639.73 : x
  2. Step 2: Convert to fraction form
    521,658.63/782,462.16 = 305,639.73/x
  3. Step 3: Cross multiply
    521,658.63x = 782,462.16 × 305,639.73
  4. Step 4: Simplify right side
    521,658.63x = 239,151,523,317.62
  5. Step 5: Solve for x
    x = 239,151,523,317.62/521,658.63
  6. Step 6: Final answer
    x = 458,444.49

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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.