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Finding the Fourth Proportional to 811,527.96, 1,217,054 and 305,724

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Solution

The fourth proportional to 811,527.96, 1,217,054 and 305,724 is: 458,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,527.96 : 1,217,054 = 305,724 : x
  2. Step 2: Convert to fraction form
    811,527.96/1,217,054 = 305,724/x
  3. Step 3: Cross multiply
    811,527.96x = 1,217,054 × 305,724
  4. Step 4: Simplify right side
    811,527.96x = 372,082,617,096
  5. Step 5: Solve for x
    x = 372,082,617,096/811,527.96
  6. Step 6: Final answer
    x = 458,496.36

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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.