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Finding the Fourth Proportional to 285,515.40, 427,812.30 and 180,145.80

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Solution

The fourth proportional to 285,515.40, 427,812.30 and 180,145.80 is: 269,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,515.40 : 427,812.30 = 180,145.80 : x
  2. Step 2: Convert to fraction form
    285,515.40/427,812.30 = 180,145.80/x
  3. Step 3: Cross multiply
    285,515.40x = 427,812.30 × 180,145.80
  4. Step 4: Simplify right side
    285,515.40x = 77,068,589,033.34
  5. Step 5: Solve for x
    x = 77,068,589,033.34/285,515.40
  6. Step 6: Final answer
    x = 269,927.96

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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.