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Finding the Fourth Proportional to 472,755.60, 709,230.60 and 157,438.80

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Solution

The fourth proportional to 472,755.60, 709,230.60 and 157,438.80 is: 236,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,755.60 : 709,230.60 = 157,438.80 : x
  2. Step 2: Convert to fraction form
    472,755.60/709,230.60 = 157,438.80/x
  3. Step 3: Cross multiply
    472,755.60x = 709,230.60 × 157,438.80
  4. Step 4: Simplify right side
    472,755.60x = 111,660,414,587.28
  5. Step 5: Solve for x
    x = 111,660,414,587.28/472,755.60
  6. Step 6: Final answer
    x = 236,190.57

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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.