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Finding the Fourth Proportional to 702,438.30, 969,366.09 and 380,148.66

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Solution

The fourth proportional to 702,438.30, 969,366.09 and 380,148.66 is: 524,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,438.30 : 969,366.09 = 380,148.66 : x
  2. Step 2: Convert to fraction form
    702,438.30/969,366.09 = 380,148.66/x
  3. Step 3: Cross multiply
    702,438.30x = 969,366.09 × 380,148.66
  4. Step 4: Simplify right side
    702,438.30x = 368,503,220,162.94
  5. Step 5: Solve for x
    x = 368,503,220,162.94/702,438.30
  6. Step 6: Final answer
    x = 524,605.82

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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.