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Finding the Fourth Proportional to 421,705.67, 632,558.53 and 122,186.45

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Solution

The fourth proportional to 421,705.67, 632,558.53 and 122,186.45 is: 183,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,705.67 : 632,558.53 = 122,186.45 : x
  2. Step 2: Convert to fraction form
    421,705.67/632,558.53 = 122,186.45/x
  3. Step 3: Cross multiply
    421,705.67x = 632,558.53 × 122,186.45
  4. Step 4: Simplify right side
    421,705.67x = 77,290,077,729.66
  5. Step 5: Solve for x
    x = 77,290,077,729.66/421,705.67
  6. Step 6: Final answer
    x = 183,279.67

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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.