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Finding the Fourth Proportional to 702,406.26, 969,323.06 and 380,116.28

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Solution

The fourth proportional to 702,406.26, 969,323.06 and 380,116.28 is: 524,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,406.26 : 969,323.06 = 380,116.28 : x
  2. Step 2: Convert to fraction form
    702,406.26/969,323.06 = 380,116.28/x
  3. Step 3: Cross multiply
    702,406.26x = 969,323.06 × 380,116.28
  4. Step 4: Simplify right side
    702,406.26x = 368,455,479,059.02
  5. Step 5: Solve for x
    x = 368,455,479,059.02/702,406.26
  6. Step 6: Final answer
    x = 524,561.78

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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.