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Finding the Fourth Proportional to 298,715.78, 412,380.14 and 202,428.32

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Solution

The fourth proportional to 298,715.78, 412,380.14 and 202,428.32 is: 279,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.78 : 412,380.14 = 202,428.32 : x
  2. Step 2: Convert to fraction form
    298,715.78/412,380.14 = 202,428.32/x
  3. Step 3: Cross multiply
    298,715.78x = 412,380.14 × 202,428.32
  4. Step 4: Simplify right side
    298,715.78x = 83,477,418,960.37
  5. Step 5: Solve for x
    x = 83,477,418,960.37/298,715.78
  6. Step 6: Final answer
    x = 279,454.33

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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.