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Finding the Fourth Proportional to 480,706.20, 720,840.60 and 214,329.60

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Solution

The fourth proportional to 480,706.20, 720,840.60 and 214,329.60 is: 321,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,706.20 : 720,840.60 = 214,329.60 : x
  2. Step 2: Convert to fraction form
    480,706.20/720,840.60 = 214,329.60/x
  3. Step 3: Cross multiply
    480,706.20x = 720,840.60 × 214,329.60
  4. Step 4: Simplify right side
    480,706.20x = 154,497,477,461.76
  5. Step 5: Solve for x
    x = 154,497,477,461.76/480,706.20
  6. Step 6: Final answer
    x = 321,396.89

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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.