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Finding the Fourth Proportional to 292,879.84, 438,817.76 and 196,636.80

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Solution

The fourth proportional to 292,879.84, 438,817.76 and 196,636.80 is: 294,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,879.84 : 438,817.76 = 196,636.80 : x
  2. Step 2: Convert to fraction form
    292,879.84/438,817.76 = 196,636.80/x
  3. Step 3: Cross multiply
    292,879.84x = 438,817.76 × 196,636.80
  4. Step 4: Simplify right side
    292,879.84x = 86,287,720,109.57
  5. Step 5: Solve for x
    x = 86,287,720,109.57/292,879.84
  6. Step 6: Final answer
    x = 294,618.16

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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.