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Finding the Fourth Proportional to 521,503.61, 782,480.22 and 281,569.89

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Solution

The fourth proportional to 521,503.61, 782,480.22 and 281,569.89 is: 422,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,503.61 : 782,480.22 = 281,569.89 : x
  2. Step 2: Convert to fraction form
    521,503.61/782,480.22 = 281,569.89/x
  3. Step 3: Cross multiply
    521,503.61x = 782,480.22 × 281,569.89
  4. Step 4: Simplify right side
    521,503.61x = 220,322,870,020.93
  5. Step 5: Solve for x
    x = 220,322,870,020.93/521,503.61
  6. Step 6: Final answer
    x = 422,476.21

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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.