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Finding the Fourth Proportional to 702,940.20, 970,062.08 and 380,650.30

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Solution

The fourth proportional to 702,940.20, 970,062.08 and 380,650.30 is: 525,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,940.20 : 970,062.08 = 380,650.30 : x
  2. Step 2: Convert to fraction form
    702,940.20/970,062.08 = 380,650.30/x
  3. Step 3: Cross multiply
    702,940.20x = 970,062.08 × 380,650.30
  4. Step 4: Simplify right side
    702,940.20x = 369,254,421,770.62
  5. Step 5: Solve for x
    x = 369,254,421,770.62/702,940.20
  6. Step 6: Final answer
    x = 525,299.91

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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.