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Finding the Fourth Proportional to 213,794.43, 320,802.30 and 155,114.43

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Solution

The fourth proportional to 213,794.43, 320,802.30 and 155,114.43 is: 232,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.43 : 320,802.30 = 155,114.43 : x
  2. Step 2: Convert to fraction form
    213,794.43/320,802.30 = 155,114.43/x
  3. Step 3: Cross multiply
    213,794.43x = 320,802.30 × 155,114.43
  4. Step 4: Simplify right side
    213,794.43x = 49,761,065,907.19
  5. Step 5: Solve for x
    x = 49,761,065,907.19/213,794.43
  6. Step 6: Final answer
    x = 232,751.93

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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.