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Finding the Fourth Proportional to 312,069.40, 468,104.10 and 264,830.20

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Solution

The fourth proportional to 312,069.40, 468,104.10 and 264,830.20 is: 397,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,069.40 : 468,104.10 = 264,830.20 : x
  2. Step 2: Convert to fraction form
    312,069.40/468,104.10 = 264,830.20/x
  3. Step 3: Cross multiply
    312,069.40x = 468,104.10 × 264,830.20
  4. Step 4: Simplify right side
    312,069.40x = 123,968,102,423.82
  5. Step 5: Solve for x
    x = 123,968,102,423.82/312,069.40
  6. Step 6: Final answer
    x = 397,245.30

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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.