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Finding the Fourth Proportional to 421,542.70, 631,871.18 and 261,618.32

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Solution

The fourth proportional to 421,542.70, 631,871.18 and 261,618.32 is: 392,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,542.70 : 631,871.18 = 261,618.32 : x
  2. Step 2: Convert to fraction form
    421,542.70/631,871.18 = 261,618.32/x
  3. Step 3: Cross multiply
    421,542.70x = 631,871.18 × 261,618.32
  4. Step 4: Simplify right side
    421,542.70x = 165,309,076,568.02
  5. Step 5: Solve for x
    x = 165,309,076,568.02/421,542.70
  6. Step 6: Final answer
    x = 392,152.63

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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.