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Finding the Fourth Proportional to 702,159.72, 969,096.32 and 430,378.80

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Solution

The fourth proportional to 702,159.72, 969,096.32 and 430,378.80 is: 593,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,159.72 : 969,096.32 = 430,378.80 : x
  2. Step 2: Convert to fraction form
    702,159.72/969,096.32 = 430,378.80/x
  3. Step 3: Cross multiply
    702,159.72x = 969,096.32 × 430,378.80
  4. Step 4: Simplify right side
    702,159.72x = 417,078,511,286.02
  5. Step 5: Solve for x
    x = 417,078,511,286.02/702,159.72
  6. Step 6: Final answer
    x = 593,993.79

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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.