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Finding the Fourth Proportional to 702,966.20, 970,093.87 and 380,676.65

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Solution

The fourth proportional to 702,966.20, 970,093.87 and 380,676.65 is: 525,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,966.20 : 970,093.87 = 380,676.65 : x
  2. Step 2: Convert to fraction form
    702,966.20/970,093.87 = 380,676.65/x
  3. Step 3: Cross multiply
    702,966.20x = 970,093.87 × 380,676.65
  4. Step 4: Simplify right side
    702,966.20x = 369,292,078,814.98
  5. Step 5: Solve for x
    x = 369,292,078,814.98/702,966.20
  6. Step 6: Final answer
    x = 525,334.05

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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.