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Finding the Fourth Proportional to 703,111.68, 970,286.40 and 380,813.76

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Solution

The fourth proportional to 703,111.68, 970,286.40 and 380,813.76 is: 525,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,111.68 : 970,286.40 = 380,813.76 : x
  2. Step 2: Convert to fraction form
    703,111.68/970,286.40 = 380,813.76/x
  3. Step 3: Cross multiply
    703,111.68x = 970,286.40 × 380,813.76
  4. Step 4: Simplify right side
    703,111.68x = 369,498,412,260.86
  5. Step 5: Solve for x
    x = 369,498,412,260.86/703,111.68
  6. Step 6: Final answer
    x = 525,518.81

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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.