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Finding the Fourth Proportional to 375,605.19, 518,348.43 and 205,839.32

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Solution

The fourth proportional to 375,605.19, 518,348.43 and 205,839.32 is: 284,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,605.19 : 518,348.43 = 205,839.32 : x
  2. Step 2: Convert to fraction form
    375,605.19/518,348.43 = 205,839.32/x
  3. Step 3: Cross multiply
    375,605.19x = 518,348.43 × 205,839.32
  4. Step 4: Simplify right side
    375,605.19x = 106,696,485,762.53
  5. Step 5: Solve for x
    x = 106,696,485,762.53/375,605.19
  6. Step 6: Final answer
    x = 284,065.53

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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.