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Finding the Fourth Proportional to 376,020, 518,907.60 and 206,254.53

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Solution

The fourth proportional to 376,020, 518,907.60 and 206,254.53 is: 284,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,020 : 518,907.60 = 206,254.53 : x
  2. Step 2: Convert to fraction form
    376,020/518,907.60 = 206,254.53/x
  3. Step 3: Cross multiply
    376,020x = 518,907.60 × 206,254.53
  4. Step 4: Simplify right side
    376,020x = 107,027,043,151.43
  5. Step 5: Solve for x
    x = 107,027,043,151.43/376,020
  6. Step 6: Final answer
    x = 284,631.25

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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.