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Finding the Fourth Proportional to 358,981.37, 495,417.67 and 206,069.06

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Solution

The fourth proportional to 358,981.37, 495,417.67 and 206,069.06 is: 284,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,981.37 : 495,417.67 = 206,069.06 : x
  2. Step 2: Convert to fraction form
    358,981.37/495,417.67 = 206,069.06/x
  3. Step 3: Cross multiply
    358,981.37x = 495,417.67 × 206,069.06
  4. Step 4: Simplify right side
    358,981.37x = 102,090,254,287.66
  5. Step 5: Solve for x
    x = 102,090,254,287.66/358,981.37
  6. Step 6: Final answer
    x = 284,388.73

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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.