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Finding the Fourth Proportional to 421,132, 631,518.18 and 243,761.44

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Solution

The fourth proportional to 421,132, 631,518.18 and 243,761.44 is: 365,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,132 : 631,518.18 = 243,761.44 : x
  2. Step 2: Convert to fraction form
    421,132/631,518.18 = 243,761.44/x
  3. Step 3: Cross multiply
    421,132x = 631,518.18 × 243,761.44
  4. Step 4: Simplify right side
    421,132x = 153,939,780,942.98
  5. Step 5: Solve for x
    x = 153,939,780,942.98/421,132
  6. Step 6: Final answer
    x = 365,538.08

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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.