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Finding the Fourth Proportional to 369,850.67, 510,388.92 and 206,509.70

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Solution

The fourth proportional to 369,850.67, 510,388.92 and 206,509.70 is: 284,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,850.67 : 510,388.92 = 206,509.70 : x
  2. Step 2: Convert to fraction form
    369,850.67/510,388.92 = 206,509.70/x
  3. Step 3: Cross multiply
    369,850.67x = 510,388.92 × 206,509.70
  4. Step 4: Simplify right side
    369,850.67x = 105,400,262,752.52
  5. Step 5: Solve for x
    x = 105,400,262,752.52/369,850.67
  6. Step 6: Final answer
    x = 284,980.59

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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.