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Finding the Fourth Proportional to 878,181, 1,317,274.74 and 213,333

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Solution

The fourth proportional to 878,181, 1,317,274.74 and 213,333 is: 320,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,181 : 1,317,274.74 = 213,333 : x
  2. Step 2: Convert to fraction form
    878,181/1,317,274.74 = 213,333/x
  3. Step 3: Cross multiply
    878,181x = 1,317,274.74 × 213,333
  4. Step 4: Simplify right side
    878,181x = 281,018,172,108.42
  5. Step 5: Solve for x
    x = 281,018,172,108.42/878,181
  6. Step 6: Final answer
    x = 320,000.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.