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Finding the Fourth Proportional to 371,816.40, 513,105.36 and 202,050.48

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Solution

The fourth proportional to 371,816.40, 513,105.36 and 202,050.48 is: 278,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,816.40 : 513,105.36 = 202,050.48 : x
  2. Step 2: Convert to fraction form
    371,816.40/513,105.36 = 202,050.48/x
  3. Step 3: Cross multiply
    371,816.40x = 513,105.36 × 202,050.48
  4. Step 4: Simplify right side
    371,816.40x = 103,673,184,278.57
  5. Step 5: Solve for x
    x = 103,673,184,278.57/371,816.40
  6. Step 6: Final answer
    x = 278,828.97

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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.