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Finding the Fourth Proportional to 512,023.75, 706,424.19 and 330,842.34

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Solution

The fourth proportional to 512,023.75, 706,424.19 and 330,842.34 is: 456,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,023.75 : 706,424.19 = 330,842.34 : x
  2. Step 2: Convert to fraction form
    512,023.75/706,424.19 = 330,842.34/x
  3. Step 3: Cross multiply
    512,023.75x = 706,424.19 × 330,842.34
  4. Step 4: Simplify right side
    512,023.75x = 233,715,030,811.55
  5. Step 5: Solve for x
    x = 233,715,030,811.55/512,023.75
  6. Step 6: Final answer
    x = 456,453.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.