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Finding the Fourth Proportional to 702,999.72, 970,138.12 and 380,708.82

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Solution

The fourth proportional to 702,999.72, 970,138.12 and 380,708.82 is: 525,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,999.72 : 970,138.12 = 380,708.82 : x
  2. Step 2: Convert to fraction form
    702,999.72/970,138.12 = 380,708.82/x
  3. Step 3: Cross multiply
    702,999.72x = 970,138.12 × 380,708.82
  4. Step 4: Simplify right side
    702,999.72x = 369,340,138,902.22
  5. Step 5: Solve for x
    x = 369,340,138,902.22/702,999.72
  6. Step 6: Final answer
    x = 525,377.36

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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.