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Finding the Fourth Proportional to 685,896, 946,536.96 and 384,096.96

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Solution

The fourth proportional to 685,896, 946,536.96 and 384,096.96 is: 530,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,896 : 946,536.96 = 384,096.96 : x
  2. Step 2: Convert to fraction form
    685,896/946,536.96 = 384,096.96/x
  3. Step 3: Cross multiply
    685,896x = 946,536.96 × 384,096.96
  4. Step 4: Simplify right side
    685,896x = 363,561,968,863.64
  5. Step 5: Solve for x
    x = 363,561,968,863.64/685,896
  6. Step 6: Final answer
    x = 530,054.07

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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.