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Finding the Fourth Proportional to 923,214, 1,384,821 and 258,366

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Solution

The fourth proportional to 923,214, 1,384,821 and 258,366 is: 387,549

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,214 : 1,384,821 = 258,366 : x
  2. Step 2: Convert to fraction form
    923,214/1,384,821 = 258,366/x
  3. Step 3: Cross multiply
    923,214x = 1,384,821 × 258,366
  4. Step 4: Simplify right side
    923,214x = 357,790,662,486
  5. Step 5: Solve for x
    x = 357,790,662,486/923,214
  6. Step 6: Final answer
    x = 387,549

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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.