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Finding the Fourth Proportional to 805,348, 1,208,022 and 214,372

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Solution

The fourth proportional to 805,348, 1,208,022 and 214,372 is: 321,558

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,348 : 1,208,022 = 214,372 : x
  2. Step 2: Convert to fraction form
    805,348/1,208,022 = 214,372/x
  3. Step 3: Cross multiply
    805,348x = 1,208,022 × 214,372
  4. Step 4: Simplify right side
    805,348x = 258,966,092,184
  5. Step 5: Solve for x
    x = 258,966,092,184/805,348
  6. Step 6: Final answer
    x = 321,558

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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.