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Finding the Fourth Proportional to 313,271.76, 469,907.64 and 76,611.63

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Solution

The fourth proportional to 313,271.76, 469,907.64 and 76,611.63 is: 114,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,271.76 : 469,907.64 = 76,611.63 : x
  2. Step 2: Convert to fraction form
    313,271.76/469,907.64 = 76,611.63/x
  3. Step 3: Cross multiply
    313,271.76x = 469,907.64 × 76,611.63
  4. Step 4: Simplify right side
    313,271.76x = 36,000,390,249.85
  5. Step 5: Solve for x
    x = 36,000,390,249.85/313,271.76
  6. Step 6: Final answer
    x = 114,917.45

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1.5x scale

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.