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Finding the Fourth Proportional to 512,065.08, 706,776.34 and 311,029.56

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Solution

The fourth proportional to 512,065.08, 706,776.34 and 311,029.56 is: 429,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,065.08 : 706,776.34 = 311,029.56 : x
  2. Step 2: Convert to fraction form
    512,065.08/706,776.34 = 311,029.56/x
  3. Step 3: Cross multiply
    512,065.08x = 706,776.34 × 311,029.56
  4. Step 4: Simplify right side
    512,065.08x = 219,828,334,048.61
  5. Step 5: Solve for x
    x = 219,828,334,048.61/512,065.08
  6. Step 6: Final answer
    x = 429,297.65

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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.