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Finding the Fourth Proportional to 463,883.72, 640,166.38 and 270,287.24

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Solution

The fourth proportional to 463,883.72, 640,166.38 and 270,287.24 is: 373,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,883.72 : 640,166.38 = 270,287.24 : x
  2. Step 2: Convert to fraction form
    463,883.72/640,166.38 = 270,287.24/x
  3. Step 3: Cross multiply
    463,883.72x = 640,166.38 × 270,287.24
  4. Step 4: Simplify right side
    463,883.72x = 173,028,803,990.99
  5. Step 5: Solve for x
    x = 173,028,803,990.99/463,883.72
  6. Step 6: Final answer
    x = 373,000.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.