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Finding the Fourth Proportional to 702,996, 970,133.04 and 380,706

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Solution

The fourth proportional to 702,996, 970,133.04 and 380,706 is: 525,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,996 : 970,133.04 = 380,706 : x
  2. Step 2: Convert to fraction form
    702,996/970,133.04 = 380,706/x
  3. Step 3: Cross multiply
    702,996x = 970,133.04 × 380,706
  4. Step 4: Simplify right side
    702,996x = 369,335,469,126.24
  5. Step 5: Solve for x
    x = 369,335,469,126.24/702,996
  6. Step 6: Final answer
    x = 525,373.50

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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.