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Finding the Fourth Proportional to 702,839.56, 969,914.17 and 380,548.66

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Solution

The fourth proportional to 702,839.56, 969,914.17 and 380,548.66 is: 525,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,839.56 : 969,914.17 = 380,548.66 : x
  2. Step 2: Convert to fraction form
    702,839.56/969,914.17 = 380,548.66/x
  3. Step 3: Cross multiply
    702,839.56x = 969,914.17 × 380,548.66
  4. Step 4: Simplify right side
    702,839.56x = 369,099,537,708.51
  5. Step 5: Solve for x
    x = 369,099,537,708.51/702,839.56
  6. Step 6: Final answer
    x = 525,154.76

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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.