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Finding the Fourth Proportional to 312,146, 468,288.48 and 122,624.72

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Solution

The fourth proportional to 312,146, 468,288.48 and 122,624.72 is: 183,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,146 : 468,288.48 = 122,624.72 : x
  2. Step 2: Convert to fraction form
    312,146/468,288.48 = 122,624.72/x
  3. Step 3: Cross multiply
    312,146x = 468,288.48 × 122,624.72
  4. Step 4: Simplify right side
    312,146x = 57,423,743,739.23
  5. Step 5: Solve for x
    x = 57,423,743,739.23/312,146
  6. Step 6: Final answer
    x = 183,964.37

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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.