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Finding the Fourth Proportional to 404,676.30, 607,014.45 and 254,429.40

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Solution

The fourth proportional to 404,676.30, 607,014.45 and 254,429.40 is: 381,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,676.30 : 607,014.45 = 254,429.40 : x
  2. Step 2: Convert to fraction form
    404,676.30/607,014.45 = 254,429.40/x
  3. Step 3: Cross multiply
    404,676.30x = 607,014.45 × 254,429.40
  4. Step 4: Simplify right side
    404,676.30x = 154,442,322,304.83
  5. Step 5: Solve for x
    x = 154,442,322,304.83/404,676.30
  6. Step 6: Final answer
    x = 381,644.10

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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.