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Finding the Fourth Proportional to 214,920.70, 322,725.30 and 170,913.40

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Solution

The fourth proportional to 214,920.70, 322,725.30 and 170,913.40 is: 256,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,920.70 : 322,725.30 = 170,913.40 : x
  2. Step 2: Convert to fraction form
    214,920.70/322,725.30 = 170,913.40/x
  3. Step 3: Cross multiply
    214,920.70x = 322,725.30 × 170,913.40
  4. Step 4: Simplify right side
    214,920.70x = 55,158,078,289.02
  5. Step 5: Solve for x
    x = 55,158,078,289.02/214,920.70
  6. Step 6: Final answer
    x = 256,643.86

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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.