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Finding the Fourth Proportional to 1,603,660, 2,405,632.08 and 421,708

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Solution

The fourth proportional to 1,603,660, 2,405,632.08 and 421,708 is: 632,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,660 : 2,405,632.08 = 421,708 : x
  2. Step 2: Convert to fraction form
    1,603,660/2,405,632.08 = 421,708/x
  3. Step 3: Cross multiply
    1,603,660x = 2,405,632.08 × 421,708
  4. Step 4: Simplify right side
    1,603,660x = 1,014,474,293,192.64
  5. Step 5: Solve for x
    x = 1,014,474,293,192.64/1,603,660
  6. Step 6: Final answer
    x = 632,599.36

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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.