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Finding the Fourth Proportional to 329,571.42, 494,357.14 and 312,742.45

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Solution

The fourth proportional to 329,571.42, 494,357.14 and 312,742.45 is: 469,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,571.42 : 494,357.14 = 312,742.45 : x
  2. Step 2: Convert to fraction form
    329,571.42/494,357.14 = 312,742.45/x
  3. Step 3: Cross multiply
    329,571.42x = 494,357.14 × 312,742.45
  4. Step 4: Simplify right side
    329,571.42x = 154,606,464,147.47
  5. Step 5: Solve for x
    x = 154,606,464,147.47/329,571.42
  6. Step 6: Final answer
    x = 469,113.69

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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.