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Finding the Fourth Proportional to 480,657.60, 720,986.40 and 200,138.40

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Solution

The fourth proportional to 480,657.60, 720,986.40 and 200,138.40 is: 300,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,657.60 : 720,986.40 = 200,138.40 : x
  2. Step 2: Convert to fraction form
    480,657.60/720,986.40 = 200,138.40/x
  3. Step 3: Cross multiply
    480,657.60x = 720,986.40 × 200,138.40
  4. Step 4: Simplify right side
    480,657.60x = 144,297,064,517.76
  5. Step 5: Solve for x
    x = 144,297,064,517.76/480,657.60
  6. Step 6: Final answer
    x = 300,207.60

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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.