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Finding the Fourth Proportional to 421,950.65, 632,857.76 and 155,836.49

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Solution

The fourth proportional to 421,950.65, 632,857.76 and 155,836.49 is: 233,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,950.65 : 632,857.76 = 155,836.49 : x
  2. Step 2: Convert to fraction form
    421,950.65/632,857.76 = 155,836.49/x
  3. Step 3: Cross multiply
    421,950.65x = 632,857.76 × 155,836.49
  4. Step 4: Simplify right side
    421,950.65x = 98,622,331,208.48
  5. Step 5: Solve for x
    x = 98,622,331,208.48/421,950.65
  6. Step 6: Final answer
    x = 233,729.54

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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.