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Finding the Fourth Proportional to 505,143.84, 757,840.61 and 150,156.38

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Solution

The fourth proportional to 505,143.84, 757,840.61 and 150,156.38 is: 225,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,143.84 : 757,840.61 = 150,156.38 : x
  2. Step 2: Convert to fraction form
    505,143.84/757,840.61 = 150,156.38/x
  3. Step 3: Cross multiply
    505,143.84x = 757,840.61 × 150,156.38
  4. Step 4: Simplify right side
    505,143.84x = 113,794,604,039.96
  5. Step 5: Solve for x
    x = 113,794,604,039.96/505,143.84
  6. Step 6: Final answer
    x = 225,271.68

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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.