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Finding the Fourth Proportional to 445,409.69, 667,976.02 and 145,823.49

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Solution

The fourth proportional to 445,409.69, 667,976.02 and 145,823.49 is: 218,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,409.69 : 667,976.02 = 145,823.49 : x
  2. Step 2: Convert to fraction form
    445,409.69/667,976.02 = 145,823.49/x
  3. Step 3: Cross multiply
    445,409.69x = 667,976.02 × 145,823.49
  4. Step 4: Simplify right side
    445,409.69x = 97,406,594,108.15
  5. Step 5: Solve for x
    x = 97,406,594,108.15/445,409.69
  6. Step 6: Final answer
    x = 218,689.89

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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.