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Finding the Fourth Proportional to 494,680.56, 742,075.32 and 157,642.80

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Solution

The fourth proportional to 494,680.56, 742,075.32 and 157,642.80 is: 236,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,680.56 : 742,075.32 = 157,642.80 : x
  2. Step 2: Convert to fraction form
    494,680.56/742,075.32 = 157,642.80/x
  3. Step 3: Cross multiply
    494,680.56x = 742,075.32 × 157,642.80
  4. Step 4: Simplify right side
    494,680.56x = 116,982,831,255.70
  5. Step 5: Solve for x
    x = 116,982,831,255.70/494,680.56
  6. Step 6: Final answer
    x = 236,481.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.