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Finding the Fourth Proportional to 308,814.84, 463,157.46 and 87,147

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Solution

The fourth proportional to 308,814.84, 463,157.46 and 87,147 is: 130,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,814.84 : 463,157.46 = 87,147 : x
  2. Step 2: Convert to fraction form
    308,814.84/463,157.46 = 87,147/x
  3. Step 3: Cross multiply
    308,814.84x = 463,157.46 × 87,147
  4. Step 4: Simplify right side
    308,814.84x = 40,362,783,166.62
  5. Step 5: Solve for x
    x = 40,362,783,166.62/308,814.84
  6. Step 6: Final answer
    x = 130,702.21

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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.