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Finding the Fourth Proportional to 628,702.26, 943,053.69 and 207,978.13

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Solution

The fourth proportional to 628,702.26, 943,053.69 and 207,978.13 is: 311,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,702.26 : 943,053.69 = 207,978.13 : x
  2. Step 2: Convert to fraction form
    628,702.26/943,053.69 = 207,978.13/x
  3. Step 3: Cross multiply
    628,702.26x = 943,053.69 × 207,978.13
  4. Step 4: Simplify right side
    628,702.26x = 196,134,542,935.80
  5. Step 5: Solve for x
    x = 196,134,542,935.80/628,702.26
  6. Step 6: Final answer
    x = 311,967.29

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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.