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Finding the Fourth Proportional to 702,689.82, 969,710.86 and 380,399.88

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Solution

The fourth proportional to 702,689.82, 969,710.86 and 380,399.88 is: 524,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,689.82 : 969,710.86 = 380,399.88 : x
  2. Step 2: Convert to fraction form
    702,689.82/969,710.86 = 380,399.88/x
  3. Step 3: Cross multiply
    702,689.82x = 969,710.86 × 380,399.88
  4. Step 4: Simplify right side
    702,689.82x = 368,877,894,778.70
  5. Step 5: Solve for x
    x = 368,877,894,778.70/702,689.82
  6. Step 6: Final answer
    x = 524,951.24

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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.