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Finding the Fourth Proportional to 512,245.34, 706,991.10 and 305,526.98

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Solution

The fourth proportional to 512,245.34, 706,991.10 and 305,526.98 is: 421,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,245.34 : 706,991.10 = 305,526.98 : x
  2. Step 2: Convert to fraction form
    512,245.34/706,991.10 = 305,526.98/x
  3. Step 3: Cross multiply
    512,245.34x = 706,991.10 × 305,526.98
  4. Step 4: Simplify right side
    512,245.34x = 216,004,855,669.88
  5. Step 5: Solve for x
    x = 216,004,855,669.88/512,245.34
  6. Step 6: Final answer
    x = 421,682.42

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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.