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Finding the Fourth Proportional to 421,782.04, 632,680.36 and 155,405.44

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Solution

The fourth proportional to 421,782.04, 632,680.36 and 155,405.44 is: 233,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,782.04 : 632,680.36 = 155,405.44 : x
  2. Step 2: Convert to fraction form
    421,782.04/632,680.36 = 155,405.44/x
  3. Step 3: Cross multiply
    421,782.04x = 632,680.36 × 155,405.44
  4. Step 4: Simplify right side
    421,782.04x = 98,321,969,725.16
  5. Step 5: Solve for x
    x = 98,321,969,725.16/421,782.04
  6. Step 6: Final answer
    x = 233,110.85

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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.