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Finding the Fourth Proportional to 645,987, 968,989.14 and 202,755

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Solution

The fourth proportional to 645,987, 968,989.14 and 202,755 is: 304,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,987 : 968,989.14 = 202,755 : x
  2. Step 2: Convert to fraction form
    645,987/968,989.14 = 202,755/x
  3. Step 3: Cross multiply
    645,987x = 968,989.14 × 202,755
  4. Step 4: Simplify right side
    645,987x = 196,467,393,080.70
  5. Step 5: Solve for x
    x = 196,467,393,080.70/645,987
  6. Step 6: Final answer
    x = 304,135.21

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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.