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Finding the Fourth Proportional to 408,049.10, 612,073.65 and 405,424.70

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Solution

The fourth proportional to 408,049.10, 612,073.65 and 405,424.70 is: 608,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.10 : 612,073.65 = 405,424.70 : x
  2. Step 2: Convert to fraction form
    408,049.10/612,073.65 = 405,424.70/x
  3. Step 3: Cross multiply
    408,049.10x = 612,073.65 × 405,424.70
  4. Step 4: Simplify right side
    408,049.10x = 248,149,775,929.16
  5. Step 5: Solve for x
    x = 248,149,775,929.16/408,049.10
  6. Step 6: Final answer
    x = 608,137.05

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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.