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Finding the Fourth Proportional to 521,800.40, 781,663.80 and 284,718.80

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Solution

The fourth proportional to 521,800.40, 781,663.80 and 284,718.80 is: 426,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,800.40 : 781,663.80 = 284,718.80 : x
  2. Step 2: Convert to fraction form
    521,800.40/781,663.80 = 284,718.80/x
  3. Step 3: Cross multiply
    521,800.40x = 781,663.80 × 284,718.80
  4. Step 4: Simplify right side
    521,800.40x = 222,554,379,139.44
  5. Step 5: Solve for x
    x = 222,554,379,139.44/521,800.40
  6. Step 6: Final answer
    x = 426,512.47

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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.