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Finding the Fourth Proportional to 285,574.65, 394,105.81 and 158,242.04

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Solution

The fourth proportional to 285,574.65, 394,105.81 and 158,242.04 is: 218,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,574.65 : 394,105.81 = 158,242.04 : x
  2. Step 2: Convert to fraction form
    285,574.65/394,105.81 = 158,242.04/x
  3. Step 3: Cross multiply
    285,574.65x = 394,105.81 × 158,242.04
  4. Step 4: Simplify right side
    285,574.65x = 62,364,106,954.65
  5. Step 5: Solve for x
    x = 62,364,106,954.65/285,574.65
  6. Step 6: Final answer
    x = 218,381.10

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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.