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Finding the Fourth Proportional to 702,999, 970,137.18 and 380,709

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Solution

The fourth proportional to 702,999, 970,137.18 and 380,709 is: 525,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,999 : 970,137.18 = 380,709 : x
  2. Step 2: Convert to fraction form
    702,999/970,137.18 = 380,709/x
  3. Step 3: Cross multiply
    702,999x = 970,137.18 × 380,709
  4. Step 4: Simplify right side
    702,999x = 369,339,955,660.62
  5. Step 5: Solve for x
    x = 369,339,955,660.62/702,999
  6. Step 6: Final answer
    x = 525,377.64

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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.