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Finding the Fourth Proportional to 279,087.34, 385,357.43 and 214,454.66

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Solution

The fourth proportional to 279,087.34, 385,357.43 and 214,454.66 is: 296,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,087.34 : 385,357.43 = 214,454.66 : x
  2. Step 2: Convert to fraction form
    279,087.34/385,357.43 = 214,454.66/x
  3. Step 3: Cross multiply
    279,087.34x = 385,357.43 × 214,454.66
  4. Step 4: Simplify right side
    279,087.34x = 82,641,695,598.97
  5. Step 5: Solve for x
    x = 82,641,695,598.97/279,087.34
  6. Step 6: Final answer
    x = 296,114.10

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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.