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Finding the Fourth Proportional to 312,581, 431,361.96 and 169,342.04

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Solution

The fourth proportional to 312,581, 431,361.96 and 169,342.04 is: 233,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,581 : 431,361.96 = 169,342.04 : x
  2. Step 2: Convert to fraction form
    312,581/431,361.96 = 169,342.04/x
  3. Step 3: Cross multiply
    312,581x = 431,361.96 × 169,342.04
  4. Step 4: Simplify right side
    312,581x = 73,047,714,284.80
  5. Step 5: Solve for x
    x = 73,047,714,284.80/312,581
  6. Step 6: Final answer
    x = 233,692.11

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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.