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Finding the Fourth Proportional to 217,285.10, 325,818.30 and 128,565.80

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Solution

The fourth proportional to 217,285.10, 325,818.30 and 128,565.80 is: 192,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,285.10 : 325,818.30 = 128,565.80 : x
  2. Step 2: Convert to fraction form
    217,285.10/325,818.30 = 128,565.80/x
  3. Step 3: Cross multiply
    217,285.10x = 325,818.30 × 128,565.80
  4. Step 4: Simplify right side
    217,285.10x = 41,889,090,394.14
  5. Step 5: Solve for x
    x = 41,889,090,394.14/217,285.10
  6. Step 6: Final answer
    x = 192,784.00

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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.