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Finding the Fourth Proportional to 548,004, 822,006 and 154,020

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Solution

The fourth proportional to 548,004, 822,006 and 154,020 is: 231,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,004 : 822,006 = 154,020 : x
  2. Step 2: Convert to fraction form
    548,004/822,006 = 154,020/x
  3. Step 3: Cross multiply
    548,004x = 822,006 × 154,020
  4. Step 4: Simplify right side
    548,004x = 126,605,364,120
  5. Step 5: Solve for x
    x = 126,605,364,120/548,004
  6. Step 6: Final answer
    x = 231,030

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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.