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Finding the Fourth Proportional to 214,321.30, 321,495.32 and 56,549.90

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Solution

The fourth proportional to 214,321.30, 321,495.32 and 56,549.90 is: 84,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,321.30 : 321,495.32 = 56,549.90 : x
  2. Step 2: Convert to fraction form
    214,321.30/321,495.32 = 56,549.90/x
  3. Step 3: Cross multiply
    214,321.30x = 321,495.32 × 56,549.90
  4. Step 4: Simplify right side
    214,321.30x = 18,180,528,196.47
  5. Step 5: Solve for x
    x = 18,180,528,196.47/214,321.30
  6. Step 6: Final answer
    x = 84,828.38

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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.