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Finding the Fourth Proportional to 500,762, 751,143.96 and 121,683.08

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Solution

The fourth proportional to 500,762, 751,143.96 and 121,683.08 is: 182,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,762 : 751,143.96 = 121,683.08 : x
  2. Step 2: Convert to fraction form
    500,762/751,143.96 = 121,683.08/x
  3. Step 3: Cross multiply
    500,762x = 751,143.96 × 121,683.08
  4. Step 4: Simplify right side
    500,762x = 91,401,510,576.20
  5. Step 5: Solve for x
    x = 91,401,510,576.20/500,762
  6. Step 6: Final answer
    x = 182,524.85

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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.