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Finding the Fourth Proportional to 219,314.40, 328,971.60 and 217,240.80

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Solution

The fourth proportional to 219,314.40, 328,971.60 and 217,240.80 is: 325,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314.40 : 328,971.60 = 217,240.80 : x
  2. Step 2: Convert to fraction form
    219,314.40/328,971.60 = 217,240.80/x
  3. Step 3: Cross multiply
    219,314.40x = 328,971.60 × 217,240.80
  4. Step 4: Simplify right side
    219,314.40x = 71,466,053,561.28
  5. Step 5: Solve for x
    x = 71,466,053,561.28/219,314.40
  6. Step 6: Final answer
    x = 325,861.20

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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.