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Finding the Fourth Proportional to 702,427.82, 969,352.74 and 380,137.74

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Solution

The fourth proportional to 702,427.82, 969,352.74 and 380,137.74 is: 524,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,427.82 : 969,352.74 = 380,137.74 : x
  2. Step 2: Convert to fraction form
    702,427.82/969,352.74 = 380,137.74/x
  3. Step 3: Cross multiply
    702,427.82x = 969,352.74 × 380,137.74
  4. Step 4: Simplify right side
    702,427.82x = 368,487,559,846.41
  5. Step 5: Solve for x
    x = 368,487,559,846.41/702,427.82
  6. Step 6: Final answer
    x = 524,591.35

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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.