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Finding the Fourth Proportional to 455,142.96, 682,729.02 and 155,611.44

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Solution

The fourth proportional to 455,142.96, 682,729.02 and 155,611.44 is: 233,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,142.96 : 682,729.02 = 155,611.44 : x
  2. Step 2: Convert to fraction form
    455,142.96/682,729.02 = 155,611.44/x
  3. Step 3: Cross multiply
    455,142.96x = 682,729.02 × 155,611.44
  4. Step 4: Simplify right side
    455,142.96x = 106,240,445,931.99
  5. Step 5: Solve for x
    x = 106,240,445,931.99/455,142.96
  6. Step 6: Final answer
    x = 233,422.14

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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.