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Finding the Fourth Proportional to 358,692, 495,029.52 and 199,716

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Solution

The fourth proportional to 358,692, 495,029.52 and 199,716 is: 275,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,692 : 495,029.52 = 199,716 : x
  2. Step 2: Convert to fraction form
    358,692/495,029.52 = 199,716/x
  3. Step 3: Cross multiply
    358,692x = 495,029.52 × 199,716
  4. Step 4: Simplify right side
    358,692x = 98,865,315,616.32
  5. Step 5: Solve for x
    x = 98,865,315,616.32/358,692
  6. Step 6: Final answer
    x = 275,627.32

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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.