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Finding the Fourth Proportional to 355,443.96, 490,566.06 and 204,511.80

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Solution

The fourth proportional to 355,443.96, 490,566.06 and 204,511.80 is: 282,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,443.96 : 490,566.06 = 204,511.80 : x
  2. Step 2: Convert to fraction form
    355,443.96/490,566.06 = 204,511.80/x
  3. Step 3: Cross multiply
    355,443.96x = 490,566.06 × 204,511.80
  4. Step 4: Simplify right side
    355,443.96x = 100,326,547,949.51
  5. Step 5: Solve for x
    x = 100,326,547,949.51/355,443.96
  6. Step 6: Final answer
    x = 282,257.01

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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.