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Finding the Fourth Proportional to 518,436, 715,441.68 and 279,972

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Solution

The fourth proportional to 518,436, 715,441.68 and 279,972 is: 386,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,436 : 715,441.68 = 279,972 : x
  2. Step 2: Convert to fraction form
    518,436/715,441.68 = 279,972/x
  3. Step 3: Cross multiply
    518,436x = 715,441.68 × 279,972
  4. Step 4: Simplify right side
    518,436x = 200,303,638,032.96
  5. Step 5: Solve for x
    x = 200,303,638,032.96/518,436
  6. Step 6: Final answer
    x = 386,361.36

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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.