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Finding the Fourth Proportional to 512,491.21, 707,324.51 and 297,755.89

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Solution

The fourth proportional to 512,491.21, 707,324.51 and 297,755.89 is: 410,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,491.21 : 707,324.51 = 297,755.89 : x
  2. Step 2: Convert to fraction form
    512,491.21/707,324.51 = 297,755.89/x
  3. Step 3: Cross multiply
    512,491.21x = 707,324.51 × 297,755.89
  4. Step 4: Simplify right side
    512,491.21x = 210,610,037,969.94
  5. Step 5: Solve for x
    x = 210,610,037,969.94/512,491.21
  6. Step 6: Final answer
    x = 410,953.47

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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.