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Finding the Fourth Proportional to 656,576, 906,144.64 and 384,872.26

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Solution

The fourth proportional to 656,576, 906,144.64 and 384,872.26 is: 531,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,576 : 906,144.64 = 384,872.26 : x
  2. Step 2: Convert to fraction form
    656,576/906,144.64 = 384,872.26/x
  3. Step 3: Cross multiply
    656,576x = 906,144.64 × 384,872.26
  4. Step 4: Simplify right side
    656,576x = 348,749,935,483.69
  5. Step 5: Solve for x
    x = 348,749,935,483.69/656,576
  6. Step 6: Final answer
    x = 531,164.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.