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Finding the Fourth Proportional to 214,908.40, 322,427.40 and 115,116.40

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Solution

The fourth proportional to 214,908.40, 322,427.40 and 115,116.40 is: 172,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.40 : 322,427.40 = 115,116.40 : x
  2. Step 2: Convert to fraction form
    214,908.40/322,427.40 = 115,116.40/x
  3. Step 3: Cross multiply
    214,908.40x = 322,427.40 × 115,116.40
  4. Step 4: Simplify right side
    214,908.40x = 37,116,681,549.36
  5. Step 5: Solve for x
    x = 37,116,681,549.36/214,908.40
  6. Step 6: Final answer
    x = 172,709.31

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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.