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Finding the Fourth Proportional to 369,850.17, 510,388.23 and 206,509.20

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Solution

The fourth proportional to 369,850.17, 510,388.23 and 206,509.20 is: 284,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,850.17 : 510,388.23 = 206,509.20 : x
  2. Step 2: Convert to fraction form
    369,850.17/510,388.23 = 206,509.20/x
  3. Step 3: Cross multiply
    369,850.17x = 510,388.23 × 206,509.20
  4. Step 4: Simplify right side
    369,850.17x = 105,399,865,066.72
  5. Step 5: Solve for x
    x = 105,399,865,066.72/369,850.17
  6. Step 6: Final answer
    x = 284,979.90

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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.