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Finding the Fourth Proportional to 702,978.02, 970,107.92 and 380,688.12

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Solution

The fourth proportional to 702,978.02, 970,107.92 and 380,688.12 is: 525,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,978.02 : 970,107.92 = 380,688.12 : x
  2. Step 2: Convert to fraction form
    702,978.02/970,107.92 = 380,688.12/x
  3. Step 3: Cross multiply
    702,978.02x = 970,107.92 × 380,688.12
  4. Step 4: Simplify right side
    702,978.02x = 369,308,560,261.91
  5. Step 5: Solve for x
    x = 369,308,560,261.91/702,978.02
  6. Step 6: Final answer
    x = 525,348.66

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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.