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Finding the Fourth Proportional to 515,706.30, 774,142.65 and 397,899.90

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Solution

The fourth proportional to 515,706.30, 774,142.65 and 397,899.90 is: 597,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,706.30 : 774,142.65 = 397,899.90 : x
  2. Step 2: Convert to fraction form
    515,706.30/774,142.65 = 397,899.90/x
  3. Step 3: Cross multiply
    515,706.30x = 774,142.65 × 397,899.90
  4. Step 4: Simplify right side
    515,706.30x = 308,031,283,020.74
  5. Step 5: Solve for x
    x = 308,031,283,020.74/515,706.30
  6. Step 6: Final answer
    x = 597,299.83

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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.