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Finding the Fourth Proportional to 635,274.40, 952,709.28 and 208,711.20

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Solution

The fourth proportional to 635,274.40, 952,709.28 and 208,711.20 is: 313,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,274.40 : 952,709.28 = 208,711.20 : x
  2. Step 2: Convert to fraction form
    635,274.40/952,709.28 = 208,711.20/x
  3. Step 3: Cross multiply
    635,274.40x = 952,709.28 × 208,711.20
  4. Step 4: Simplify right side
    635,274.40x = 198,841,097,079.94
  5. Step 5: Solve for x
    x = 198,841,097,079.94/635,274.40
  6. Step 6: Final answer
    x = 313,000.33

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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.