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Finding the Fourth Proportional to 380,442.81, 525,027.59 and 210,676.94

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Solution

The fourth proportional to 380,442.81, 525,027.59 and 210,676.94 is: 290,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,442.81 : 525,027.59 = 210,676.94 : x
  2. Step 2: Convert to fraction form
    380,442.81/525,027.59 = 210,676.94/x
  3. Step 3: Cross multiply
    380,442.81x = 525,027.59 × 210,676.94
  4. Step 4: Simplify right side
    380,442.81x = 110,611,206,076.78
  5. Step 5: Solve for x
    x = 110,611,206,076.78/380,442.81
  6. Step 6: Final answer
    x = 290,743.32

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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.