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Finding the Fourth Proportional to 213,999, 320,878.44 and 146,607.16

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Solution

The fourth proportional to 213,999, 320,878.44 and 146,607.16 is: 219,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,999 : 320,878.44 = 146,607.16 : x
  2. Step 2: Convert to fraction form
    213,999/320,878.44 = 146,607.16/x
  3. Step 3: Cross multiply
    213,999x = 320,878.44 × 146,607.16
  4. Step 4: Simplify right side
    213,999x = 47,043,076,793.63
  5. Step 5: Solve for x
    x = 47,043,076,793.63/213,999
  6. Step 6: Final answer
    x = 219,828.49

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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.