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Finding the Fourth Proportional to 579,866.31, 869,590.89 and 200,684.12

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Solution

The fourth proportional to 579,866.31, 869,590.89 and 200,684.12 is: 300,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,866.31 : 869,590.89 = 200,684.12 : x
  2. Step 2: Convert to fraction form
    579,866.31/869,590.89 = 200,684.12/x
  3. Step 3: Cross multiply
    579,866.31x = 869,590.89 × 200,684.12
  4. Step 4: Simplify right side
    579,866.31x = 174,513,078,171.71
  5. Step 5: Solve for x
    x = 174,513,078,171.71/579,866.31
  6. Step 6: Final answer
    x = 300,953.99

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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.