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Finding the Fourth Proportional to 358,840, 495,199.20 and 199,864

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Solution

The fourth proportional to 358,840, 495,199.20 and 199,864 is: 275,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,840 : 495,199.20 = 199,864 : x
  2. Step 2: Convert to fraction form
    358,840/495,199.20 = 199,864/x
  3. Step 3: Cross multiply
    358,840x = 495,199.20 × 199,864
  4. Step 4: Simplify right side
    358,840x = 98,972,492,908.80
  5. Step 5: Solve for x
    x = 98,972,492,908.80/358,840
  6. Step 6: Final answer
    x = 275,812.32

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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.