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Finding the Fourth Proportional to 702,161.72, 969,099.08 and 430,380.80

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Solution

The fourth proportional to 702,161.72, 969,099.08 and 430,380.80 is: 593,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,161.72 : 969,099.08 = 430,380.80 : x
  2. Step 2: Convert to fraction form
    702,161.72/969,099.08 = 430,380.80/x
  3. Step 3: Cross multiply
    702,161.72x = 969,099.08 × 430,380.80
  4. Step 4: Simplify right side
    702,161.72x = 417,081,637,329.66
  5. Step 5: Solve for x
    x = 417,081,637,329.66/702,161.72
  6. Step 6: Final answer
    x = 593,996.55

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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.