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Finding the Fourth Proportional to 358,824, 495,177.12 and 199,848

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Solution

The fourth proportional to 358,824, 495,177.12 and 199,848 is: 275,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,824 : 495,177.12 = 199,848 : x
  2. Step 2: Convert to fraction form
    358,824/495,177.12 = 199,848/x
  3. Step 3: Cross multiply
    358,824x = 495,177.12 × 199,848
  4. Step 4: Simplify right side
    358,824x = 98,960,157,077.76
  5. Step 5: Solve for x
    x = 98,960,157,077.76/358,824
  6. Step 6: Final answer
    x = 275,790.24

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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.