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Finding the Fourth Proportional to 685,900, 946,542.48 and 384,100.96

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Solution

The fourth proportional to 685,900, 946,542.48 and 384,100.96 is: 530,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,900 : 946,542.48 = 384,100.96 : x
  2. Step 2: Convert to fraction form
    685,900/946,542.48 = 384,100.96/x
  3. Step 3: Cross multiply
    685,900x = 946,542.48 × 384,100.96
  4. Step 4: Simplify right side
    685,900x = 363,567,875,248.78
  5. Step 5: Solve for x
    x = 363,567,875,248.78/685,900
  6. Step 6: Final answer
    x = 530,059.59

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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.