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Finding the Fourth Proportional to 371,763, 512,798.82 and 296,491.32

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Solution

The fourth proportional to 371,763, 512,798.82 and 296,491.32 is: 408,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,763 : 512,798.82 = 296,491.32 : x
  2. Step 2: Convert to fraction form
    371,763/512,798.82 = 296,491.32/x
  3. Step 3: Cross multiply
    371,763x = 512,798.82 × 296,491.32
  4. Step 4: Simplify right side
    371,763x = 152,040,399,036.24
  5. Step 5: Solve for x
    x = 152,040,399,036.24/371,763
  6. Step 6: Final answer
    x = 408,971.30

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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.