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Finding the Fourth Proportional to 685,675.80, 946,231.74 and 383,871.96

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Solution

The fourth proportional to 685,675.80, 946,231.74 and 383,871.96 is: 529,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,675.80 : 946,231.74 = 383,871.96 : x
  2. Step 2: Convert to fraction form
    685,675.80/946,231.74 = 383,871.96/x
  3. Step 3: Cross multiply
    685,675.80x = 946,231.74 × 383,871.96
  4. Step 4: Simplify right side
    685,675.80x = 363,231,832,648.01
  5. Step 5: Solve for x
    x = 363,231,832,648.01/685,675.80
  6. Step 6: Final answer
    x = 529,742.82

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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.