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Finding the Fourth Proportional to 702,865.76, 969,955.35 and 380,576.03

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Solution

The fourth proportional to 702,865.76, 969,955.35 and 380,576.03 is: 525,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,865.76 : 969,955.35 = 380,576.03 : x
  2. Step 2: Convert to fraction form
    702,865.76/969,955.35 = 380,576.03/x
  3. Step 3: Cross multiply
    702,865.76x = 969,955.35 × 380,576.03
  4. Step 4: Simplify right side
    702,865.76x = 369,141,756,380.26
  5. Step 5: Solve for x
    x = 369,141,756,380.26/702,865.76
  6. Step 6: Final answer
    x = 525,195.25

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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.