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Finding the Fourth Proportional to 662,489.97, 993,735.29 and 213,210.78

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Solution

The fourth proportional to 662,489.97, 993,735.29 and 213,210.78 is: 319,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,489.97 : 993,735.29 = 213,210.78 : x
  2. Step 2: Convert to fraction form
    662,489.97/993,735.29 = 213,210.78/x
  3. Step 3: Cross multiply
    662,489.97x = 993,735.29 × 213,210.78
  4. Step 4: Simplify right side
    662,489.97x = 211,875,076,294.43
  5. Step 5: Solve for x
    x = 211,875,076,294.43/662,489.97
  6. Step 6: Final answer
    x = 319,816.28

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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.