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Finding the Fourth Proportional to 365,107.81, 546,329.53 and 215,419.81

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Solution

The fourth proportional to 365,107.81, 546,329.53 and 215,419.81 is: 322,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,107.81 : 546,329.53 = 215,419.81 : x
  2. Step 2: Convert to fraction form
    365,107.81/546,329.53 = 215,419.81/x
  3. Step 3: Cross multiply
    365,107.81x = 546,329.53 × 215,419.81
  4. Step 4: Simplify right side
    365,107.81x = 117,690,203,549.99
  5. Step 5: Solve for x
    x = 117,690,203,549.99/365,107.81
  6. Step 6: Final answer
    x = 322,343.70

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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.