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Finding the Fourth Proportional to 338,258.80, 506,732.10 and 188,230.60

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Solution

The fourth proportional to 338,258.80, 506,732.10 and 188,230.60 is: 281,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,258.80 : 506,732.10 = 188,230.60 : x
  2. Step 2: Convert to fraction form
    338,258.80/506,732.10 = 188,230.60/x
  3. Step 3: Cross multiply
    338,258.80x = 506,732.10 × 188,230.60
  4. Step 4: Simplify right side
    338,258.80x = 95,382,487,222.26
  5. Step 5: Solve for x
    x = 95,382,487,222.26/338,258.80
  6. Step 6: Final answer
    x = 281,980.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.