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Finding the Fourth Proportional to 358,298.57, 494,395.52 and 205,307.33

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Solution

The fourth proportional to 358,298.57, 494,395.52 and 205,307.33 is: 283,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,298.57 : 494,395.52 = 205,307.33 : x
  2. Step 2: Convert to fraction form
    358,298.57/494,395.52 = 205,307.33/x
  3. Step 3: Cross multiply
    358,298.57x = 494,395.52 × 205,307.33
  4. Step 4: Simplify right side
    358,298.57x = 101,503,020,676.65
  5. Step 5: Solve for x
    x = 101,503,020,676.65/358,298.57
  6. Step 6: Final answer
    x = 283,291.73

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1.5x scale

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.