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Finding the Fourth Proportional to 397,640.68, 596,276.70 and 148,255.72

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Solution

The fourth proportional to 397,640.68, 596,276.70 and 148,255.72 is: 222,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,640.68 : 596,276.70 = 148,255.72 : x
  2. Step 2: Convert to fraction form
    397,640.68/596,276.70 = 148,255.72/x
  3. Step 3: Cross multiply
    397,640.68x = 596,276.70 × 148,255.72
  4. Step 4: Simplify right side
    397,640.68x = 88,401,431,477.72
  5. Step 5: Solve for x
    x = 88,401,431,477.72/397,640.68
  6. Step 6: Final answer
    x = 222,314.86

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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.