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Finding the Fourth Proportional to 315,131.94, 472,558.48 and 90,440.24

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Solution

The fourth proportional to 315,131.94, 472,558.48 and 90,440.24 is: 135,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,131.94 : 472,558.48 = 90,440.24 : x
  2. Step 2: Convert to fraction form
    315,131.94/472,558.48 = 90,440.24/x
  3. Step 3: Cross multiply
    315,131.94x = 472,558.48 × 90,440.24
  4. Step 4: Simplify right side
    315,131.94x = 42,738,299,756.34
  5. Step 5: Solve for x
    x = 42,738,299,756.34/315,131.94
  6. Step 6: Final answer
    x = 135,620.34

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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.