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Finding the Fourth Proportional to 299,790.57, 413,520.75 and 228,013.23

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Solution

The fourth proportional to 299,790.57, 413,520.75 and 228,013.23 is: 314,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,790.57 : 413,520.75 = 228,013.23 : x
  2. Step 2: Convert to fraction form
    299,790.57/413,520.75 = 228,013.23/x
  3. Step 3: Cross multiply
    299,790.57x = 413,520.75 × 228,013.23
  4. Step 4: Simplify right side
    299,790.57x = 94,288,201,879.52
  5. Step 5: Solve for x
    x = 94,288,201,879.52/299,790.57
  6. Step 6: Final answer
    x = 314,513.57

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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.