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Finding the Fourth Proportional to 703,057.67, 970,219.29 and 380,767.78

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Solution

The fourth proportional to 703,057.67, 970,219.29 and 380,767.78 is: 525,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,057.67 : 970,219.29 = 380,767.78 : x
  2. Step 2: Convert to fraction form
    703,057.67/970,219.29 = 380,767.78/x
  3. Step 3: Cross multiply
    703,057.67x = 970,219.29 × 380,767.78
  4. Step 4: Simplify right side
    703,057.67x = 369,428,247,592.02
  5. Step 5: Solve for x
    x = 369,428,247,592.02/703,057.67
  6. Step 6: Final answer
    x = 525,459.38

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Double scale
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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.