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Finding the Fourth Proportional to 217,972.38, 300,828.76 and 122,477

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Solution

The fourth proportional to 217,972.38, 300,828.76 and 122,477 is: 169,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,972.38 : 300,828.76 = 122,477 : x
  2. Step 2: Convert to fraction form
    217,972.38/300,828.76 = 122,477/x
  3. Step 3: Cross multiply
    217,972.38x = 300,828.76 × 122,477
  4. Step 4: Simplify right side
    217,972.38x = 36,844,604,038.52
  5. Step 5: Solve for x
    x = 36,844,604,038.52/217,972.38
  6. Step 6: Final answer
    x = 169,033.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.