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Finding the Fourth Proportional to 312,021.60, 468,045.36 and 259,799.28

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Solution

The fourth proportional to 312,021.60, 468,045.36 and 259,799.28 is: 389,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,021.60 : 468,045.36 = 259,799.28 : x
  2. Step 2: Convert to fraction form
    312,021.60/468,045.36 = 259,799.28/x
  3. Step 3: Cross multiply
    312,021.60x = 468,045.36 × 259,799.28
  4. Step 4: Simplify right side
    312,021.60x = 121,597,847,535.34
  5. Step 5: Solve for x
    x = 121,597,847,535.34/312,021.60
  6. Step 6: Final answer
    x = 389,709.71

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1.5x scale

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.