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Finding the Fourth Proportional to 401,040.90, 601,561.35 and 259,323.30

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Solution

The fourth proportional to 401,040.90, 601,561.35 and 259,323.30 is: 388,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,040.90 : 601,561.35 = 259,323.30 : x
  2. Step 2: Convert to fraction form
    401,040.90/601,561.35 = 259,323.30/x
  3. Step 3: Cross multiply
    401,040.90x = 601,561.35 × 259,323.30
  4. Step 4: Simplify right side
    401,040.90x = 155,998,874,434.46
  5. Step 5: Solve for x
    x = 155,998,874,434.46/401,040.90
  6. Step 6: Final answer
    x = 388,984.95

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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.