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Finding the Fourth Proportional to 264,021.16, 396,049.02 and 77,017

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Solution

The fourth proportional to 264,021.16, 396,049.02 and 77,017 is: 115,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,021.16 : 396,049.02 = 77,017 : x
  2. Step 2: Convert to fraction form
    264,021.16/396,049.02 = 77,017/x
  3. Step 3: Cross multiply
    264,021.16x = 396,049.02 × 77,017
  4. Step 4: Simplify right side
    264,021.16x = 30,502,507,373.34
  5. Step 5: Solve for x
    x = 30,502,507,373.34/264,021.16
  6. Step 6: Final answer
    x = 115,530.54

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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.