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Finding the Fourth Proportional to 410,720.80, 566,491.44 and 259,672

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Solution

The fourth proportional to 410,720.80, 566,491.44 and 259,672 is: 358,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,720.80 : 566,491.44 = 259,672 : x
  2. Step 2: Convert to fraction form
    410,720.80/566,491.44 = 259,672/x
  3. Step 3: Cross multiply
    410,720.80x = 566,491.44 × 259,672
  4. Step 4: Simplify right side
    410,720.80x = 147,101,965,207.68
  5. Step 5: Solve for x
    x = 147,101,965,207.68/410,720.80
  6. Step 6: Final answer
    x = 358,155.63

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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.