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Finding the Fourth Proportional to 433,021.77, 649,089.72 and 219,393.90

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Solution

The fourth proportional to 433,021.77, 649,089.72 and 219,393.90 is: 328,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,021.77 : 649,089.72 = 219,393.90 : x
  2. Step 2: Convert to fraction form
    433,021.77/649,089.72 = 219,393.90/x
  3. Step 3: Cross multiply
    433,021.77x = 649,089.72 × 219,393.90
  4. Step 4: Simplify right side
    433,021.77x = 142,406,325,120.71
  5. Step 5: Solve for x
    x = 142,406,325,120.71/433,021.77
  6. Step 6: Final answer
    x = 328,866.43

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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.