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Finding the Fourth Proportional to 702,951.57, 970,073.69 and 380,662.02

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Solution

The fourth proportional to 702,951.57, 970,073.69 and 380,662.02 is: 525,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,951.57 : 970,073.69 = 380,662.02 : x
  2. Step 2: Convert to fraction form
    702,951.57/970,073.69 = 380,662.02/x
  3. Step 3: Cross multiply
    702,951.57x = 970,073.69 × 380,662.02
  4. Step 4: Simplify right side
    702,951.57x = 369,270,208,480.94
  5. Step 5: Solve for x
    x = 369,270,208,480.94/702,951.57
  6. Step 6: Final answer
    x = 525,313.87

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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.