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Finding the Fourth Proportional to 702,162.72, 969,100.46 and 430,381.80

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Solution

The fourth proportional to 702,162.72, 969,100.46 and 430,381.80 is: 593,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,162.72 : 969,100.46 = 430,381.80 : x
  2. Step 2: Convert to fraction form
    702,162.72/969,100.46 = 430,381.80/x
  3. Step 3: Cross multiply
    702,162.72x = 969,100.46 × 430,381.80
  4. Step 4: Simplify right side
    702,162.72x = 417,083,200,355.63
  5. Step 5: Solve for x
    x = 417,083,200,355.63/702,162.72
  6. Step 6: Final answer
    x = 593,997.93

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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.