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Finding the Fourth Proportional to 521,147.16, 781,855.52 and 305,188.25

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Solution

The fourth proportional to 521,147.16, 781,855.52 and 305,188.25 is: 457,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,147.16 : 781,855.52 = 305,188.25 : x
  2. Step 2: Convert to fraction form
    521,147.16/781,855.52 = 305,188.25/x
  3. Step 3: Cross multiply
    521,147.16x = 781,855.52 × 305,188.25
  4. Step 4: Simplify right side
    521,147.16x = 238,613,112,466.42
  5. Step 5: Solve for x
    x = 238,613,112,466.42/521,147.16
  6. Step 6: Final answer
    x = 457,861.29

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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.