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Finding the Fourth Proportional to 463,470, 639,588.60 and 251,502

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Solution

The fourth proportional to 463,470, 639,588.60 and 251,502 is: 347,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,470 : 639,588.60 = 251,502 : x
  2. Step 2: Convert to fraction form
    463,470/639,588.60 = 251,502/x
  3. Step 3: Cross multiply
    463,470x = 639,588.60 × 251,502
  4. Step 4: Simplify right side
    463,470x = 160,857,812,077.20
  5. Step 5: Solve for x
    x = 160,857,812,077.20/463,470
  6. Step 6: Final answer
    x = 347,072.76

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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.