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Finding the Fourth Proportional to 421,568.30, 632,601.53 and 155,515.64

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Solution

The fourth proportional to 421,568.30, 632,601.53 and 155,515.64 is: 233,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,568.30 : 632,601.53 = 155,515.64 : x
  2. Step 2: Convert to fraction form
    421,568.30/632,601.53 = 155,515.64/x
  3. Step 3: Cross multiply
    421,568.30x = 632,601.53 × 155,515.64
  4. Step 4: Simplify right side
    421,568.30x = 98,379,427,862.34
  5. Step 5: Solve for x
    x = 98,379,427,862.34/421,568.30
  6. Step 6: Final answer
    x = 233,365.34

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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.