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Finding the Fourth Proportional to 703,000, 970,138.56 and 380,710

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Solution

The fourth proportional to 703,000, 970,138.56 and 380,710 is: 525,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,000 : 970,138.56 = 380,710 : x
  2. Step 2: Convert to fraction form
    703,000/970,138.56 = 380,710/x
  3. Step 3: Cross multiply
    703,000x = 970,138.56 × 380,710
  4. Step 4: Simplify right side
    703,000x = 369,341,451,177.60
  5. Step 5: Solve for x
    x = 369,341,451,177.60/703,000
  6. Step 6: Final answer
    x = 525,379.02

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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.