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Finding the Fourth Proportional to 489,479.20, 734,218.80 and 470,816.80

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Solution

The fourth proportional to 489,479.20, 734,218.80 and 470,816.80 is: 706,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,479.20 : 734,218.80 = 470,816.80 : x
  2. Step 2: Convert to fraction form
    489,479.20/734,218.80 = 470,816.80/x
  3. Step 3: Cross multiply
    489,479.20x = 734,218.80 × 470,816.80
  4. Step 4: Simplify right side
    489,479.20x = 345,682,545,915.84
  5. Step 5: Solve for x
    x = 345,682,545,915.84/489,479.20
  6. Step 6: Final answer
    x = 706,225.20

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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.