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Finding the Fourth Proportional to 421,907.73, 632,900.05 and 137,525.29

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Solution

The fourth proportional to 421,907.73, 632,900.05 and 137,525.29 is: 206,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,907.73 : 632,900.05 = 137,525.29 : x
  2. Step 2: Convert to fraction form
    421,907.73/632,900.05 = 137,525.29/x
  3. Step 3: Cross multiply
    421,907.73x = 632,900.05 × 137,525.29
  4. Step 4: Simplify right side
    421,907.73x = 87,039,759,951.21
  5. Step 5: Solve for x
    x = 87,039,759,951.21/421,907.73
  6. Step 6: Final answer
    x = 206,300.46

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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.