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Finding the Fourth Proportional to 702,487.64, 969,431.26 and 380,197.95

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Solution

The fourth proportional to 702,487.64, 969,431.26 and 380,197.95 is: 524,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,487.64 : 969,431.26 = 380,197.95 : x
  2. Step 2: Convert to fraction form
    702,487.64/969,431.26 = 380,197.95/x
  3. Step 3: Cross multiply
    702,487.64x = 969,431.26 × 380,197.95
  4. Step 4: Simplify right side
    702,487.64x = 368,575,780,367.28
  5. Step 5: Solve for x
    x = 368,575,780,367.28/702,487.64
  6. Step 6: Final answer
    x = 524,672.27

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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.