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Finding the Fourth Proportional to 433,644, 649,624.28 and 319,584.72

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Solution

The fourth proportional to 433,644, 649,624.28 and 319,584.72 is: 478,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,644 : 649,624.28 = 319,584.72 : x
  2. Step 2: Convert to fraction form
    433,644/649,624.28 = 319,584.72/x
  3. Step 3: Cross multiply
    433,644x = 649,624.28 × 319,584.72
  4. Step 4: Simplify right side
    433,644x = 207,609,993,629.00
  5. Step 5: Solve for x
    x = 207,609,993,629.00/433,644
  6. Step 6: Final answer
    x = 478,756.75

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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.