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Finding the Fourth Proportional to 702,968.57, 970,097.15 and 380,679.02

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Solution

The fourth proportional to 702,968.57, 970,097.15 and 380,679.02 is: 525,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,968.57 : 970,097.15 = 380,679.02 : x
  2. Step 2: Convert to fraction form
    702,968.57/970,097.15 = 380,679.02/x
  3. Step 3: Cross multiply
    702,968.57x = 970,097.15 × 380,679.02
  4. Step 4: Simplify right side
    702,968.57x = 369,295,632,366.79
  5. Step 5: Solve for x
    x = 369,295,632,366.79/702,968.57
  6. Step 6: Final answer
    x = 525,337.33

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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.