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Finding the Fourth Proportional to 490,077.78, 734,650.11 and 157,420.50

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Solution

The fourth proportional to 490,077.78, 734,650.11 and 157,420.50 is: 235,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,077.78 : 734,650.11 = 157,420.50 : x
  2. Step 2: Convert to fraction form
    490,077.78/734,650.11 = 157,420.50/x
  3. Step 3: Cross multiply
    490,077.78x = 734,650.11 × 157,420.50
  4. Step 4: Simplify right side
    490,077.78x = 115,648,987,641.26
  5. Step 5: Solve for x
    x = 115,648,987,641.26/490,077.78
  6. Step 6: Final answer
    x = 235,980.88

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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.