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Finding the Fourth Proportional to 358,710.50, 494,977.16 and 205,740.78

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Solution

The fourth proportional to 358,710.50, 494,977.16 and 205,740.78 is: 283,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,710.50 : 494,977.16 = 205,740.78 : x
  2. Step 2: Convert to fraction form
    358,710.50/494,977.16 = 205,740.78/x
  3. Step 3: Cross multiply
    358,710.50x = 494,977.16 × 205,740.78
  4. Step 4: Simplify right side
    358,710.50x = 101,836,986,980.59
  5. Step 5: Solve for x
    x = 101,836,986,980.59/358,710.50
  6. Step 6: Final answer
    x = 283,897.42

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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.