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Finding the Fourth Proportional to 219,318.80, 328,978.20 and 181,921.10

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Solution

The fourth proportional to 219,318.80, 328,978.20 and 181,921.10 is: 272,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,318.80 : 328,978.20 = 181,921.10 : x
  2. Step 2: Convert to fraction form
    219,318.80/328,978.20 = 181,921.10/x
  3. Step 3: Cross multiply
    219,318.80x = 328,978.20 × 181,921.10
  4. Step 4: Simplify right side
    219,318.80x = 59,848,076,020.02
  5. Step 5: Solve for x
    x = 59,848,076,020.02/219,318.80
  6. Step 6: Final answer
    x = 272,881.65

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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.