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Finding the Fourth Proportional to 214,668.64, 321,584.08 and 140,572

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Solution

The fourth proportional to 214,668.64, 321,584.08 and 140,572 is: 210,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,668.64 : 321,584.08 = 140,572 : x
  2. Step 2: Convert to fraction form
    214,668.64/321,584.08 = 140,572/x
  3. Step 3: Cross multiply
    214,668.64x = 321,584.08 × 140,572
  4. Step 4: Simplify right side
    214,668.64x = 45,205,717,293.76
  5. Step 5: Solve for x
    x = 45,205,717,293.76/214,668.64
  6. Step 6: Final answer
    x = 210,583.70

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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.