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Finding the Fourth Proportional to 702,998.72, 970,136.75 and 380,707.82

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Solution

The fourth proportional to 702,998.72, 970,136.75 and 380,707.82 is: 525,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,998.72 : 970,136.75 = 380,707.82 : x
  2. Step 2: Convert to fraction form
    702,998.72/970,136.75 = 380,707.82/x
  3. Step 3: Cross multiply
    702,998.72x = 970,136.75 × 380,707.82
  4. Step 4: Simplify right side
    702,998.72x = 369,338,640,440.16
  5. Step 5: Solve for x
    x = 369,338,640,440.16/702,998.72
  6. Step 6: Final answer
    x = 525,375.98

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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.