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Finding the Fourth Proportional to 358,425, 494,626.50 and 207,522

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Solution

The fourth proportional to 358,425, 494,626.50 and 207,522 is: 286,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,425 : 494,626.50 = 207,522 : x
  2. Step 2: Convert to fraction form
    358,425/494,626.50 = 207,522/x
  3. Step 3: Cross multiply
    358,425x = 494,626.50 × 207,522
  4. Step 4: Simplify right side
    358,425x = 102,645,880,533
  5. Step 5: Solve for x
    x = 102,645,880,533/358,425
  6. Step 6: Final answer
    x = 286,380.36

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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.