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Finding the Fourth Proportional to 645,472.73, 967,323.33 and 408,391.00

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Solution

The fourth proportional to 645,472.73, 967,323.33 and 408,391.00 is: 612,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,472.73 : 967,323.33 = 408,391.00 : x
  2. Step 2: Convert to fraction form
    645,472.73/967,323.33 = 408,391.00/x
  3. Step 3: Cross multiply
    645,472.73x = 967,323.33 × 408,391.00
  4. Step 4: Simplify right side
    645,472.73x = 395,046,139,643.72
  5. Step 5: Solve for x
    x = 395,046,139,643.72/645,472.73
  6. Step 6: Final answer
    x = 612,026.07

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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.