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Finding the Fourth Proportional to 702,709.10, 969,740.74 and 380,418.43

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Solution

The fourth proportional to 702,709.10, 969,740.74 and 380,418.43 is: 524,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,709.10 : 969,740.74 = 380,418.43 : x
  2. Step 2: Convert to fraction form
    702,709.10/969,740.74 = 380,418.43/x
  3. Step 3: Cross multiply
    702,709.10x = 969,740.74 × 380,418.43
  4. Step 4: Simplify right side
    702,709.10x = 368,907,249,817.84
  5. Step 5: Solve for x
    x = 368,907,249,817.84/702,709.10
  6. Step 6: Final answer
    x = 524,978.61

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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.