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Finding the Fourth Proportional to 285,099.40, 427,744.10 and 95,578.50

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Solution

The fourth proportional to 285,099.40, 427,744.10 and 95,578.50 is: 143,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,099.40 : 427,744.10 = 95,578.50 : x
  2. Step 2: Convert to fraction form
    285,099.40/427,744.10 = 95,578.50/x
  3. Step 3: Cross multiply
    285,099.40x = 427,744.10 × 95,578.50
  4. Step 4: Simplify right side
    285,099.40x = 40,883,139,461.85
  5. Step 5: Solve for x
    x = 40,883,139,461.85/285,099.40
  6. Step 6: Final answer
    x = 143,399.60

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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.