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Finding the Fourth Proportional to 642,768.69, 963,322.64 and 305,912.59

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Solution

The fourth proportional to 642,768.69, 963,322.64 and 305,912.59 is: 458,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,768.69 : 963,322.64 = 305,912.59 : x
  2. Step 2: Convert to fraction form
    642,768.69/963,322.64 = 305,912.59/x
  3. Step 3: Cross multiply
    642,768.69x = 963,322.64 × 305,912.59
  4. Step 4: Simplify right side
    642,768.69x = 294,692,523,808.04
  5. Step 5: Solve for x
    x = 294,692,523,808.04/642,768.69
  6. Step 6: Final answer
    x = 458,473.68

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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.