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Finding the Fourth Proportional to 702,663.71, 969,682.61 and 412,280.21

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Solution

The fourth proportional to 702,663.71, 969,682.61 and 412,280.21 is: 568,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,663.71 : 969,682.61 = 412,280.21 : x
  2. Step 2: Convert to fraction form
    702,663.71/969,682.61 = 412,280.21/x
  3. Step 3: Cross multiply
    702,663.71x = 969,682.61 × 412,280.21
  4. Step 4: Simplify right side
    702,663.71x = 399,780,950,446.95
  5. Step 5: Solve for x
    x = 399,780,950,446.95/702,663.71
  6. Step 6: Final answer
    x = 568,950.61

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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.