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Finding the Fourth Proportional to 285,238.48, 428,072.93 and 195,065.74

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Solution

The fourth proportional to 285,238.48, 428,072.93 and 195,065.74 is: 292,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,238.48 : 428,072.93 = 195,065.74 : x
  2. Step 2: Convert to fraction form
    285,238.48/428,072.93 = 195,065.74/x
  3. Step 3: Cross multiply
    285,238.48x = 428,072.93 × 195,065.74
  4. Step 4: Simplify right side
    285,238.48x = 83,502,362,864.42
  5. Step 5: Solve for x
    x = 83,502,362,864.42/285,238.48
  6. Step 6: Final answer
    x = 292,745.79

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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.