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Finding the Fourth Proportional to 305,302.88, 421,042.24 and 190,592.16

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Solution

The fourth proportional to 305,302.88, 421,042.24 and 190,592.16 is: 262,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,302.88 : 421,042.24 = 190,592.16 : x
  2. Step 2: Convert to fraction form
    305,302.88/421,042.24 = 190,592.16/x
  3. Step 3: Cross multiply
    305,302.88x = 421,042.24 × 190,592.16
  4. Step 4: Simplify right side
    305,302.88x = 80,247,351,000.53
  5. Step 5: Solve for x
    x = 80,247,351,000.53/305,302.88
  6. Step 6: Final answer
    x = 262,845.05

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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.