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Finding the Fourth Proportional to 463,140, 639,133.20 and 251,172

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Solution

The fourth proportional to 463,140, 639,133.20 and 251,172 is: 346,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,140 : 639,133.20 = 251,172 : x
  2. Step 2: Convert to fraction form
    463,140/639,133.20 = 251,172/x
  3. Step 3: Cross multiply
    463,140x = 639,133.20 × 251,172
  4. Step 4: Simplify right side
    463,140x = 160,532,364,110.40
  5. Step 5: Solve for x
    x = 160,532,364,110.40/463,140
  6. Step 6: Final answer
    x = 346,617.36

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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.