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Finding the Fourth Proportional to 285,369.84, 428,022.36 and 75,024.18

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Solution

The fourth proportional to 285,369.84, 428,022.36 and 75,024.18 is: 112,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,369.84 : 428,022.36 = 75,024.18 : x
  2. Step 2: Convert to fraction form
    285,369.84/428,022.36 = 75,024.18/x
  3. Step 3: Cross multiply
    285,369.84x = 428,022.36 × 75,024.18
  4. Step 4: Simplify right side
    285,369.84x = 32,112,026,580.66
  5. Step 5: Solve for x
    x = 32,112,026,580.66/285,369.84
  6. Step 6: Final answer
    x = 112,527.75

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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.