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Finding the Fourth Proportional to 520,686, 718,546.68 and 282,222

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Solution

The fourth proportional to 520,686, 718,546.68 and 282,222 is: 389,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,686 : 718,546.68 = 282,222 : x
  2. Step 2: Convert to fraction form
    520,686/718,546.68 = 282,222/x
  3. Step 3: Cross multiply
    520,686x = 718,546.68 × 282,222
  4. Step 4: Simplify right side
    520,686x = 202,789,681,122.96
  5. Step 5: Solve for x
    x = 202,789,681,122.96/520,686
  6. Step 6: Final answer
    x = 389,466.36

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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.