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Finding the Fourth Proportional to 703,113.96, 970,296.88 and 380,823.96

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Solution

The fourth proportional to 703,113.96, 970,296.88 and 380,823.96 is: 525,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,113.96 : 970,296.88 = 380,823.96 : x
  2. Step 2: Convert to fraction form
    703,113.96/970,296.88 = 380,823.96/x
  3. Step 3: Cross multiply
    703,113.96x = 970,296.88 × 380,823.96
  4. Step 4: Simplify right side
    703,113.96x = 369,512,300,217.25
  5. Step 5: Solve for x
    x = 369,512,300,217.25/703,113.96
  6. Step 6: Final answer
    x = 525,536.86

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1.5x scale

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.