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Finding the Fourth Proportional to 702,694.21, 969,718.32 and 380,404.30

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Solution

The fourth proportional to 702,694.21, 969,718.32 and 380,404.30 is: 524,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,694.21 : 969,718.32 = 380,404.30 : x
  2. Step 2: Convert to fraction form
    702,694.21/969,718.32 = 380,404.30/x
  3. Step 3: Cross multiply
    702,694.21x = 969,718.32 × 380,404.30
  4. Step 4: Simplify right side
    702,694.21x = 368,885,013,868.18
  5. Step 5: Solve for x
    x = 368,885,013,868.18/702,694.21
  6. Step 6: Final answer
    x = 524,958.10

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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.