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Finding the Fourth Proportional to 812,258.16, 1,219,505.31 and 413,169

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Solution

The fourth proportional to 812,258.16, 1,219,505.31 and 413,169 is: 620,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,258.16 : 1,219,505.31 = 413,169 : x
  2. Step 2: Convert to fraction form
    812,258.16/1,219,505.31 = 413,169/x
  3. Step 3: Cross multiply
    812,258.16x = 1,219,505.31 × 413,169
  4. Step 4: Simplify right side
    812,258.16x = 503,861,789,427.39
  5. Step 5: Solve for x
    x = 503,861,789,427.39/812,258.16
  6. Step 6: Final answer
    x = 620,322.23

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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.