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Finding the Fourth Proportional to 421,684.67, 632,121.04 and 155,299.87

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Solution

The fourth proportional to 421,684.67, 632,121.04 and 155,299.87 is: 232,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,684.67 : 632,121.04 = 155,299.87 : x
  2. Step 2: Convert to fraction form
    421,684.67/632,121.04 = 155,299.87/x
  3. Step 3: Cross multiply
    421,684.67x = 632,121.04 × 155,299.87
  4. Step 4: Simplify right side
    421,684.67x = 98,168,315,336.26
  5. Step 5: Solve for x
    x = 98,168,315,336.26/421,684.67
  6. Step 6: Final answer
    x = 232,800.29

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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.