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Finding the Fourth Proportional to 923,076, 1,384,614 and 258,228

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Solution

The fourth proportional to 923,076, 1,384,614 and 258,228 is: 387,342

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,076 : 1,384,614 = 258,228 : x
  2. Step 2: Convert to fraction form
    923,076/1,384,614 = 258,228/x
  3. Step 3: Cross multiply
    923,076x = 1,384,614 × 258,228
  4. Step 4: Simplify right side
    923,076x = 357,546,103,992
  5. Step 5: Solve for x
    x = 357,546,103,992/923,076
  6. Step 6: Final answer
    x = 387,342

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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.