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Finding the Fourth Proportional to 312,169.25, 430,794.69 and 168,929.26

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Solution

The fourth proportional to 312,169.25, 430,794.69 and 168,929.26 is: 233,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,169.25 : 430,794.69 = 168,929.26 : x
  2. Step 2: Convert to fraction form
    312,169.25/430,794.69 = 168,929.26/x
  3. Step 3: Cross multiply
    312,169.25x = 430,794.69 × 168,929.26
  4. Step 4: Simplify right side
    312,169.25x = 72,773,826,483.16
  5. Step 5: Solve for x
    x = 72,773,826,483.16/312,169.25
  6. Step 6: Final answer
    x = 233,122.98

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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.