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Finding the Fourth Proportional to 285,903.51, 428,691.18 and 108,297.24

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Solution

The fourth proportional to 285,903.51, 428,691.18 and 108,297.24 is: 162,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,903.51 : 428,691.18 = 108,297.24 : x
  2. Step 2: Convert to fraction form
    285,903.51/428,691.18 = 108,297.24/x
  3. Step 3: Cross multiply
    285,903.51x = 428,691.18 × 108,297.24
  4. Step 4: Simplify right side
    285,903.51x = 46,426,071,606.34
  5. Step 5: Solve for x
    x = 46,426,071,606.34/285,903.51
  6. Step 6: Final answer
    x = 162,383.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.