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Finding the Fourth Proportional to 421,908.21, 633,299.85 and 282,640.05

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Solution

The fourth proportional to 421,908.21, 633,299.85 and 282,640.05 is: 424,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908.21 : 633,299.85 = 282,640.05 : x
  2. Step 2: Convert to fraction form
    421,908.21/633,299.85 = 282,640.05/x
  3. Step 3: Cross multiply
    421,908.21x = 633,299.85 × 282,640.05
  4. Step 4: Simplify right side
    421,908.21x = 178,995,901,268.99
  5. Step 5: Solve for x
    x = 178,995,901,268.99/421,908.21
  6. Step 6: Final answer
    x = 424,253.18

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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.