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Finding the Fourth Proportional to 520,867.20, 781,300.80 and 284,671.20

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Solution

The fourth proportional to 520,867.20, 781,300.80 and 284,671.20 is: 427,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,867.20 : 781,300.80 = 284,671.20 : x
  2. Step 2: Convert to fraction form
    520,867.20/781,300.80 = 284,671.20/x
  3. Step 3: Cross multiply
    520,867.20x = 781,300.80 × 284,671.20
  4. Step 4: Simplify right side
    520,867.20x = 222,413,836,296.96
  5. Step 5: Solve for x
    x = 222,413,836,296.96/520,867.20
  6. Step 6: Final answer
    x = 427,006.80

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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.