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Finding the Fourth Proportional to 274,409.30, 411,627.76 and 87,435.38

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Solution

The fourth proportional to 274,409.30, 411,627.76 and 87,435.38 is: 131,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,409.30 : 411,627.76 = 87,435.38 : x
  2. Step 2: Convert to fraction form
    274,409.30/411,627.76 = 87,435.38/x
  3. Step 3: Cross multiply
    274,409.30x = 411,627.76 × 87,435.38
  4. Step 4: Simplify right side
    274,409.30x = 35,990,830,424.63
  5. Step 5: Solve for x
    x = 35,990,830,424.63/274,409.30
  6. Step 6: Final answer
    x = 131,157.47

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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.