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Finding the Fourth Proportional to 214,928.60, 322,392.90 and 205,827.80

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Solution

The fourth proportional to 214,928.60, 322,392.90 and 205,827.80 is: 308,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,928.60 : 322,392.90 = 205,827.80 : x
  2. Step 2: Convert to fraction form
    214,928.60/322,392.90 = 205,827.80/x
  3. Step 3: Cross multiply
    214,928.60x = 322,392.90 × 205,827.80
  4. Step 4: Simplify right side
    214,928.60x = 66,357,421,342.62
  5. Step 5: Solve for x
    x = 66,357,421,342.62/214,928.60
  6. Step 6: Final answer
    x = 308,741.70

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1.5x scale

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.