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Finding the Fourth Proportional to 285,396.96, 428,061.36 and 75,051.28

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Solution

The fourth proportional to 285,396.96, 428,061.36 and 75,051.28 is: 112,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,396.96 : 428,061.36 = 75,051.28 : x
  2. Step 2: Convert to fraction form
    285,396.96/428,061.36 = 75,051.28/x
  3. Step 3: Cross multiply
    285,396.96x = 428,061.36 × 75,051.28
  4. Step 4: Simplify right side
    285,396.96x = 32,126,552,986.54
  5. Step 5: Solve for x
    x = 32,126,552,986.54/285,396.96
  6. Step 6: Final answer
    x = 112,567.96

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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.