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Finding the Fourth Proportional to 702,961.45, 970,087.32 and 380,671.90

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Solution

The fourth proportional to 702,961.45, 970,087.32 and 380,671.90 is: 525,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,961.45 : 970,087.32 = 380,671.90 : x
  2. Step 2: Convert to fraction form
    702,961.45/970,087.32 = 380,671.90/x
  3. Step 3: Cross multiply
    702,961.45x = 970,087.32 × 380,671.90
  4. Step 4: Simplify right side
    702,961.45x = 369,284,983,270.31
  5. Step 5: Solve for x
    x = 369,284,983,270.31/702,961.45
  6. Step 6: Final answer
    x = 525,327.50

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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.