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Finding the Fourth Proportional to 421,534.33, 632,334.50 and 122,019.41

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Solution

The fourth proportional to 421,534.33, 632,334.50 and 122,019.41 is: 183,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,534.33 : 632,334.50 = 122,019.41 : x
  2. Step 2: Convert to fraction form
    421,534.33/632,334.50 = 122,019.41/x
  3. Step 3: Cross multiply
    421,534.33x = 632,334.50 × 122,019.41
  4. Step 4: Simplify right side
    421,534.33x = 77,157,082,612.65
  5. Step 5: Solve for x
    x = 77,157,082,612.65/421,534.33
  6. Step 6: Final answer
    x = 183,038.67

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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.