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Finding the Fourth Proportional to 521,473.21, 782,434.59 and 281,539.47

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Solution

The fourth proportional to 521,473.21, 782,434.59 and 281,539.47 is: 422,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,473.21 : 782,434.59 = 281,539.47 : x
  2. Step 2: Convert to fraction form
    521,473.21/782,434.59 = 281,539.47/x
  3. Step 3: Cross multiply
    521,473.21x = 782,434.59 × 281,539.47
  4. Step 4: Simplify right side
    521,473.21x = 220,286,219,778.27
  5. Step 5: Solve for x
    x = 220,286,219,778.27/521,473.21
  6. Step 6: Final answer
    x = 422,430.56

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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.