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Finding the Fourth Proportional to 702,664.09, 969,683.12 and 412,280.59

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Solution

The fourth proportional to 702,664.09, 969,683.12 and 412,280.59 is: 568,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,664.09 : 969,683.12 = 412,280.59 : x
  2. Step 2: Convert to fraction form
    702,664.09/969,683.12 = 412,280.59/x
  3. Step 3: Cross multiply
    702,664.09x = 969,683.12 × 412,280.59
  4. Step 4: Simplify right side
    702,664.09x = 399,781,527,433.14
  5. Step 5: Solve for x
    x = 399,781,527,433.14/702,664.09
  6. Step 6: Final answer
    x = 568,951.13

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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.