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Finding the Fourth Proportional to 376,046, 518,943.48 and 206,280.53

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Solution

The fourth proportional to 376,046, 518,943.48 and 206,280.53 is: 284,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,046 : 518,943.48 = 206,280.53 : x
  2. Step 2: Convert to fraction form
    376,046/518,943.48 = 206,280.53/x
  3. Step 3: Cross multiply
    376,046x = 518,943.48 × 206,280.53
  4. Step 4: Simplify right side
    376,046x = 107,047,936,094.44
  5. Step 5: Solve for x
    x = 107,047,936,094.44/376,046
  6. Step 6: Final answer
    x = 284,667.13

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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.