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Finding the Fourth Proportional to 645,693.52, 967,897.60 and 308,339.79

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Solution

The fourth proportional to 645,693.52, 967,897.60 and 308,339.79 is: 462,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,693.52 : 967,897.60 = 308,339.79 : x
  2. Step 2: Convert to fraction form
    645,693.52/967,897.60 = 308,339.79/x
  3. Step 3: Cross multiply
    645,693.52x = 967,897.60 × 308,339.79
  4. Step 4: Simplify right side
    645,693.52x = 298,441,341,183.81
  5. Step 5: Solve for x
    x = 298,441,341,183.81/645,693.52
  6. Step 6: Final answer
    x = 462,202.78

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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.