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Finding the Fourth Proportional to 702,393.42, 969,302.94 and 380,103.54

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Solution

The fourth proportional to 702,393.42, 969,302.94 and 380,103.54 is: 524,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,393.42 : 969,302.94 = 380,103.54 : x
  2. Step 2: Convert to fraction form
    702,393.42/969,302.94 = 380,103.54/x
  3. Step 3: Cross multiply
    702,393.42x = 969,302.94 × 380,103.54
  4. Step 4: Simplify right side
    702,393.42x = 368,435,478,826.41
  5. Step 5: Solve for x
    x = 368,435,478,826.41/702,393.42
  6. Step 6: Final answer
    x = 524,542.90

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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.