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Finding the Fourth Proportional to 566,974.26, 782,290 and 321,905.71

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Solution

The fourth proportional to 566,974.26, 782,290 and 321,905.71 is: 444,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,974.26 : 782,290 = 321,905.71 : x
  2. Step 2: Convert to fraction form
    566,974.26/782,290 = 321,905.71/x
  3. Step 3: Cross multiply
    566,974.26x = 782,290 × 321,905.71
  4. Step 4: Simplify right side
    566,974.26x = 251,823,617,875.90
  5. Step 5: Solve for x
    x = 251,823,617,875.90/566,974.26
  6. Step 6: Final answer
    x = 444,153.53

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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.