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Finding the Fourth Proportional to 358,684.37, 494,965.46 and 205,714.70

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Solution

The fourth proportional to 358,684.37, 494,965.46 and 205,714.70 is: 283,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,684.37 : 494,965.46 = 205,714.70 : x
  2. Step 2: Convert to fraction form
    358,684.37/494,965.46 = 205,714.70/x
  3. Step 3: Cross multiply
    358,684.37x = 494,965.46 × 205,714.70
  4. Step 4: Simplify right side
    358,684.37x = 101,821,671,323.10
  5. Step 5: Solve for x
    x = 101,821,671,323.10/358,684.37
  6. Step 6: Final answer
    x = 283,875.40

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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.