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Finding the Fourth Proportional to 375,436, 518,101.68 and 224,533

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Solution

The fourth proportional to 375,436, 518,101.68 and 224,533 is: 309,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,436 : 518,101.68 = 224,533 : x
  2. Step 2: Convert to fraction form
    375,436/518,101.68 = 224,533/x
  3. Step 3: Cross multiply
    375,436x = 518,101.68 × 224,533
  4. Step 4: Simplify right side
    375,436x = 116,330,924,515.44
  5. Step 5: Solve for x
    x = 116,330,924,515.44/375,436
  6. Step 6: Final answer
    x = 309,855.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.