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Finding the Fourth Proportional to 290,768.15, 436,650.44 and 157,907.90

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Solution

The fourth proportional to 290,768.15, 436,650.44 and 157,907.90 is: 237,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,768.15 : 436,650.44 = 157,907.90 : x
  2. Step 2: Convert to fraction form
    290,768.15/436,650.44 = 157,907.90/x
  3. Step 3: Cross multiply
    290,768.15x = 436,650.44 × 157,907.90
  4. Step 4: Simplify right side
    290,768.15x = 68,950,551,041.68
  5. Step 5: Solve for x
    x = 68,950,551,041.68/290,768.15
  6. Step 6: Final answer
    x = 237,132.41

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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.