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Finding the Fourth Proportional to 370,056, 510,676.32 and 200,290.08

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Solution

The fourth proportional to 370,056, 510,676.32 and 200,290.08 is: 276,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,056 : 510,676.32 = 200,290.08 : x
  2. Step 2: Convert to fraction form
    370,056/510,676.32 = 200,290.08/x
  3. Step 3: Cross multiply
    370,056x = 510,676.32 × 200,290.08
  4. Step 4: Simplify right side
    370,056x = 102,283,400,986.91
  5. Step 5: Solve for x
    x = 102,283,400,986.91/370,056
  6. Step 6: Final answer
    x = 276,399.79

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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.