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Finding the Fourth Proportional to 702,694.38, 969,718.58 and 380,404.50

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Solution

The fourth proportional to 702,694.38, 969,718.58 and 380,404.50 is: 524,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,694.38 : 969,718.58 = 380,404.50 : x
  2. Step 2: Convert to fraction form
    702,694.38/969,718.58 = 380,404.50/x
  3. Step 3: Cross multiply
    702,694.38x = 969,718.58 × 380,404.50
  4. Step 4: Simplify right side
    702,694.38x = 368,885,311,565.61
  5. Step 5: Solve for x
    x = 368,885,311,565.61/702,694.38
  6. Step 6: Final answer
    x = 524,958.39

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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.