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Finding the Fourth Proportional to 312,180.80, 468,271.20 and 307,515.20

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Solution

The fourth proportional to 312,180.80, 468,271.20 and 307,515.20 is: 461,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,180.80 : 468,271.20 = 307,515.20 : x
  2. Step 2: Convert to fraction form
    312,180.80/468,271.20 = 307,515.20/x
  3. Step 3: Cross multiply
    312,180.80x = 468,271.20 × 307,515.20
  4. Step 4: Simplify right side
    312,180.80x = 144,000,511,722.24
  5. Step 5: Solve for x
    x = 144,000,511,722.24/312,180.80
  6. Step 6: Final answer
    x = 461,272.80

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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.