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Finding the Fourth Proportional to 285,474.78, 428,095.53 and 98,442.54

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Solution

The fourth proportional to 285,474.78, 428,095.53 and 98,442.54 is: 147,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,474.78 : 428,095.53 = 98,442.54 : x
  2. Step 2: Convert to fraction form
    285,474.78/428,095.53 = 98,442.54/x
  3. Step 3: Cross multiply
    285,474.78x = 428,095.53 × 98,442.54
  4. Step 4: Simplify right side
    285,474.78x = 42,142,811,335.85
  5. Step 5: Solve for x
    x = 42,142,811,335.85/285,474.78
  6. Step 6: Final answer
    x = 147,623.59

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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.