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Finding the Fourth Proportional to 358,693.35, 494,980.86 and 205,621.80

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Solution

The fourth proportional to 358,693.35, 494,980.86 and 205,621.80 is: 283,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,693.35 : 494,980.86 = 205,621.80 : x
  2. Step 2: Convert to fraction form
    358,693.35/494,980.86 = 205,621.80/x
  3. Step 3: Cross multiply
    358,693.35x = 494,980.86 × 205,621.80
  4. Step 4: Simplify right side
    358,693.35x = 101,778,855,398.75
  5. Step 5: Solve for x
    x = 101,778,855,398.75/358,693.35
  6. Step 6: Final answer
    x = 283,748.93

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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.