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Finding the Fourth Proportional to 291,868.80, 437,912.56 and 102,343.44

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Solution

The fourth proportional to 291,868.80, 437,912.56 and 102,343.44 is: 153,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,868.80 : 437,912.56 = 102,343.44 : x
  2. Step 2: Convert to fraction form
    291,868.80/437,912.56 = 102,343.44/x
  3. Step 3: Cross multiply
    291,868.80x = 437,912.56 × 102,343.44
  4. Step 4: Simplify right side
    291,868.80x = 44,817,477,809.61
  5. Step 5: Solve for x
    x = 44,817,477,809.61/291,868.80
  6. Step 6: Final answer
    x = 153,553.51

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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.