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Finding the Fourth Proportional to 489,401.40, 734,102.12 and 414,751.80

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Solution

The fourth proportional to 489,401.40, 734,102.12 and 414,751.80 is: 622,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,401.40 : 734,102.12 = 414,751.80 : x
  2. Step 2: Convert to fraction form
    489,401.40/734,102.12 = 414,751.80/x
  3. Step 3: Cross multiply
    489,401.40x = 734,102.12 × 414,751.80
  4. Step 4: Simplify right side
    489,401.40x = 304,470,175,653.82
  5. Step 5: Solve for x
    x = 304,470,175,653.82/489,401.40
  6. Step 6: Final answer
    x = 622,127.72

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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.