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Finding the Fourth Proportional to 321,657.13, 481,876.65 and 214,718.60

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Solution

The fourth proportional to 321,657.13, 481,876.65 and 214,718.60 is: 321,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,657.13 : 481,876.65 = 214,718.60 : x
  2. Step 2: Convert to fraction form
    321,657.13/481,876.65 = 214,718.60/x
  3. Step 3: Cross multiply
    321,657.13x = 481,876.65 × 214,718.60
  4. Step 4: Simplify right side
    321,657.13x = 103,467,878,758.72
  5. Step 5: Solve for x
    x = 103,467,878,758.72/321,657.13
  6. Step 6: Final answer
    x = 321,671.34

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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.