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Finding the Fourth Proportional to 823,834, 1,136,908.20 and 466,138

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Solution

The fourth proportional to 823,834, 1,136,908.20 and 466,138 is: 643,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,834 : 1,136,908.20 = 466,138 : x
  2. Step 2: Convert to fraction form
    823,834/1,136,908.20 = 466,138/x
  3. Step 3: Cross multiply
    823,834x = 1,136,908.20 × 466,138
  4. Step 4: Simplify right side
    823,834x = 529,956,114,531.60
  5. Step 5: Solve for x
    x = 529,956,114,531.60/823,834
  6. Step 6: Final answer
    x = 643,280.22

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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.