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Finding the Fourth Proportional to 358,686.90, 494,968.95 and 205,717.20

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Solution

The fourth proportional to 358,686.90, 494,968.95 and 205,717.20 is: 283,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,686.90 : 494,968.95 = 205,717.20 : x
  2. Step 2: Convert to fraction form
    358,686.90/494,968.95 = 205,717.20/x
  3. Step 3: Cross multiply
    358,686.90x = 494,968.95 × 205,717.20
  4. Step 4: Simplify right side
    358,686.90x = 101,823,626,480.94
  5. Step 5: Solve for x
    x = 101,823,626,480.94/358,686.90
  6. Step 6: Final answer
    x = 283,878.86

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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.