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Finding the Fourth Proportional to 404,763.32, 607,518.36 and 205,223

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Solution

The fourth proportional to 404,763.32, 607,518.36 and 205,223 is: 308,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,763.32 : 607,518.36 = 205,223 : x
  2. Step 2: Convert to fraction form
    404,763.32/607,518.36 = 205,223/x
  3. Step 3: Cross multiply
    404,763.32x = 607,518.36 × 205,223
  4. Step 4: Simplify right side
    404,763.32x = 124,676,740,394.28
  5. Step 5: Solve for x
    x = 124,676,740,394.28/404,763.32
  6. Step 6: Final answer
    x = 308,023.81

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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.