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Finding the Fourth Proportional to 255,821.76, 353,130.93 and 201,232.62

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Solution

The fourth proportional to 255,821.76, 353,130.93 and 201,232.62 is: 277,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,821.76 : 353,130.93 = 201,232.62 : x
  2. Step 2: Convert to fraction form
    255,821.76/353,130.93 = 201,232.62/x
  3. Step 3: Cross multiply
    255,821.76x = 353,130.93 × 201,232.62
  4. Step 4: Simplify right side
    255,821.76x = 71,061,462,246.94
  5. Step 5: Solve for x
    x = 71,061,462,246.94/255,821.76
  6. Step 6: Final answer
    x = 277,777.24

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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.