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Finding the Fourth Proportional to 401,005.80, 601,508.70 and 259,288.20

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Solution

The fourth proportional to 401,005.80, 601,508.70 and 259,288.20 is: 388,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,005.80 : 601,508.70 = 259,288.20 : x
  2. Step 2: Convert to fraction form
    401,005.80/601,508.70 = 259,288.20/x
  3. Step 3: Cross multiply
    401,005.80x = 601,508.70 × 259,288.20
  4. Step 4: Simplify right side
    401,005.80x = 155,964,108,107.34
  5. Step 5: Solve for x
    x = 155,964,108,107.34/401,005.80
  6. Step 6: Final answer
    x = 388,932.30

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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.