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Finding the Fourth Proportional to 217,769.16, 300,300.42 and 205,069.80

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Solution

The fourth proportional to 217,769.16, 300,300.42 and 205,069.80 is: 282,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,769.16 : 300,300.42 = 205,069.80 : x
  2. Step 2: Convert to fraction form
    217,769.16/300,300.42 = 205,069.80/x
  3. Step 3: Cross multiply
    217,769.16x = 300,300.42 × 205,069.80
  4. Step 4: Simplify right side
    217,769.16x = 61,582,547,069.32
  5. Step 5: Solve for x
    x = 61,582,547,069.32/217,769.16
  6. Step 6: Final answer
    x = 282,788.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.