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Finding the Fourth Proportional to 375,435, 518,100.30 and 224,532

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Solution

The fourth proportional to 375,435, 518,100.30 and 224,532 is: 309,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,435 : 518,100.30 = 224,532 : x
  2. Step 2: Convert to fraction form
    375,435/518,100.30 = 224,532/x
  3. Step 3: Cross multiply
    375,435x = 518,100.30 × 224,532
  4. Step 4: Simplify right side
    375,435x = 116,330,096,559.60
  5. Step 5: Solve for x
    x = 116,330,096,559.60/375,435
  6. Step 6: Final answer
    x = 309,854.16

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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.