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Finding the Fourth Proportional to 380,562.89, 525,177.44 and 208,477.10

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Solution

The fourth proportional to 380,562.89, 525,177.44 and 208,477.10 is: 287,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,562.89 : 525,177.44 = 208,477.10 : x
  2. Step 2: Convert to fraction form
    380,562.89/525,177.44 = 208,477.10/x
  3. Step 3: Cross multiply
    380,562.89x = 525,177.44 × 208,477.10
  4. Step 4: Simplify right side
    380,562.89x = 109,487,469,676.62
  5. Step 5: Solve for x
    x = 109,487,469,676.62/380,562.89
  6. Step 6: Final answer
    x = 287,698.76

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1.5x scale

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.