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Finding the Fourth Proportional to 285,798.24, 394,421.40 and 158,485.68

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Solution

The fourth proportional to 285,798.24, 394,421.40 and 158,485.68 is: 218,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,798.24 : 394,421.40 = 158,485.68 : x
  2. Step 2: Convert to fraction form
    285,798.24/394,421.40 = 158,485.68/x
  3. Step 3: Cross multiply
    285,798.24x = 394,421.40 × 158,485.68
  4. Step 4: Simplify right side
    285,798.24x = 62,510,143,785.55
  5. Step 5: Solve for x
    x = 62,510,143,785.55/285,798.24
  6. Step 6: Final answer
    x = 218,721.23

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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.