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Finding the Fourth Proportional to 805,347, 1,208,020.50 and 214,371

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Solution

The fourth proportional to 805,347, 1,208,020.50 and 214,371 is: 321,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,347 : 1,208,020.50 = 214,371 : x
  2. Step 2: Convert to fraction form
    805,347/1,208,020.50 = 214,371/x
  3. Step 3: Cross multiply
    805,347x = 1,208,020.50 × 214,371
  4. Step 4: Simplify right side
    805,347x = 258,964,562,605.50
  5. Step 5: Solve for x
    x = 258,964,562,605.50/805,347
  6. Step 6: Final answer
    x = 321,556.50

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1.5x scale

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.