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Finding the Fourth Proportional to 313,271.60, 469,907.40 and 76,616.60

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Solution

The fourth proportional to 313,271.60, 469,907.40 and 76,616.60 is: 114,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,271.60 : 469,907.40 = 76,616.60 : x
  2. Step 2: Convert to fraction form
    313,271.60/469,907.40 = 76,616.60/x
  3. Step 3: Cross multiply
    313,271.60x = 469,907.40 × 76,616.60
  4. Step 4: Simplify right side
    313,271.60x = 36,002,707,302.84
  5. Step 5: Solve for x
    x = 36,002,707,302.84/313,271.60
  6. Step 6: Final answer
    x = 114,924.90

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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.