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Finding the Fourth Proportional to 703,069.28, 970,230.76 and 380,772

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Solution

The fourth proportional to 703,069.28, 970,230.76 and 380,772 is: 525,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,069.28 : 970,230.76 = 380,772 : x
  2. Step 2: Convert to fraction form
    703,069.28/970,230.76 = 380,772/x
  3. Step 3: Cross multiply
    703,069.28x = 970,230.76 × 380,772
  4. Step 4: Simplify right side
    703,069.28x = 369,436,706,946.72
  5. Step 5: Solve for x
    x = 369,436,706,946.72/703,069.28
  6. Step 6: Final answer
    x = 525,462.74

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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.