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Finding the Fourth Proportional to 561,515.87, 774,892.50 and 306,867.26

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Solution

The fourth proportional to 561,515.87, 774,892.50 and 306,867.26 is: 423,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,515.87 : 774,892.50 = 306,867.26 : x
  2. Step 2: Convert to fraction form
    561,515.87/774,892.50 = 306,867.26/x
  3. Step 3: Cross multiply
    561,515.87x = 774,892.50 × 306,867.26
  4. Step 4: Simplify right side
    561,515.87x = 237,789,138,269.55
  5. Step 5: Solve for x
    x = 237,789,138,269.55/561,515.87
  6. Step 6: Final answer
    x = 423,477.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.