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Finding the Fourth Proportional to 702,437.30, 969,364.70 and 380,147.66

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Solution

The fourth proportional to 702,437.30, 969,364.70 and 380,147.66 is: 524,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,437.30 : 969,364.70 = 380,147.66 : x
  2. Step 2: Convert to fraction form
    702,437.30/969,364.70 = 380,147.66/x
  3. Step 3: Cross multiply
    702,437.30x = 969,364.70 × 380,147.66
  4. Step 4: Simplify right side
    702,437.30x = 368,501,722,391.60
  5. Step 5: Solve for x
    x = 368,501,722,391.60/702,437.30
  6. Step 6: Final answer
    x = 524,604.43

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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.