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Finding the Fourth Proportional to 404,765.32, 607,521.36 and 205,225

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Solution

The fourth proportional to 404,765.32, 607,521.36 and 205,225 is: 308,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,765.32 : 607,521.36 = 205,225 : x
  2. Step 2: Convert to fraction form
    404,765.32/607,521.36 = 205,225/x
  3. Step 3: Cross multiply
    404,765.32x = 607,521.36 × 205,225
  4. Step 4: Simplify right side
    404,765.32x = 124,678,571,106
  5. Step 5: Solve for x
    x = 124,678,571,106/404,765.32
  6. Step 6: Final answer
    x = 308,026.81

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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.