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Finding the Fourth Proportional to 312,054.70, 468,082.05 and 298,932.70

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Solution

The fourth proportional to 312,054.70, 468,082.05 and 298,932.70 is: 448,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,054.70 : 468,082.05 = 298,932.70 : x
  2. Step 2: Convert to fraction form
    312,054.70/468,082.05 = 298,932.70/x
  3. Step 3: Cross multiply
    312,054.70x = 468,082.05 × 298,932.70
  4. Step 4: Simplify right side
    312,054.70x = 139,925,031,028.04
  5. Step 5: Solve for x
    x = 139,925,031,028.04/312,054.70
  6. Step 6: Final answer
    x = 448,399.05

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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.