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Finding the Fourth Proportional to 515,678.40, 773,238.96 and 200,050.56

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Solution

The fourth proportional to 515,678.40, 773,238.96 and 200,050.56 is: 299,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,678.40 : 773,238.96 = 200,050.56 : x
  2. Step 2: Convert to fraction form
    515,678.40/773,238.96 = 200,050.56/x
  3. Step 3: Cross multiply
    515,678.40x = 773,238.96 × 200,050.56
  4. Step 4: Simplify right side
    515,678.40x = 154,686,886,961.82
  5. Step 5: Solve for x
    x = 154,686,886,961.82/515,678.40
  6. Step 6: Final answer
    x = 299,967.75

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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.