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Finding the Fourth Proportional to 521,564.79, 782,347.20 and 284,778.30

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Solution

The fourth proportional to 521,564.79, 782,347.20 and 284,778.30 is: 427,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,564.79 : 782,347.20 = 284,778.30 : x
  2. Step 2: Convert to fraction form
    521,564.79/782,347.20 = 284,778.30/x
  3. Step 3: Cross multiply
    521,564.79x = 782,347.20 × 284,778.30
  4. Step 4: Simplify right side
    521,564.79x = 222,795,505,625.76
  5. Step 5: Solve for x
    x = 222,795,505,625.76/521,564.79
  6. Step 6: Final answer
    x = 427,167.46

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Double scale
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Similar ratio
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1.5x scale

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.