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Finding the Fourth Proportional to 703,109.74, 970,311.33 and 397,199.03

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Solution

The fourth proportional to 703,109.74, 970,311.33 and 397,199.03 is: 548,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,109.74 : 970,311.33 = 397,199.03 : x
  2. Step 2: Convert to fraction form
    703,109.74/970,311.33 = 397,199.03/x
  3. Step 3: Cross multiply
    703,109.74x = 970,311.33 × 397,199.03
  4. Step 4: Simplify right side
    703,109.74x = 385,406,712,236.46
  5. Step 5: Solve for x
    x = 385,406,712,236.46/703,109.74
  6. Step 6: Final answer
    x = 548,145.89

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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.