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Finding the Fourth Proportional to 382,280, 573,489.18 and 157,515.44

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Solution

The fourth proportional to 382,280, 573,489.18 and 157,515.44 is: 236,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,280 : 573,489.18 = 157,515.44 : x
  2. Step 2: Convert to fraction form
    382,280/573,489.18 = 157,515.44/x
  3. Step 3: Cross multiply
    382,280x = 573,489.18 × 157,515.44
  4. Step 4: Simplify right side
    382,280x = 90,333,400,522.94
  5. Step 5: Solve for x
    x = 90,333,400,522.94/382,280
  6. Step 6: Final answer
    x = 236,301.67

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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.