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Finding the Fourth Proportional to 702,422.57, 969,344.86 and 380,135.00

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Solution

The fourth proportional to 702,422.57, 969,344.86 and 380,135.00 is: 524,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,422.57 : 969,344.86 = 380,135.00 : x
  2. Step 2: Convert to fraction form
    702,422.57/969,344.86 = 380,135.00/x
  3. Step 3: Cross multiply
    702,422.57x = 969,344.86 × 380,135.00
  4. Step 4: Simplify right side
    702,422.57x = 368,481,909,829.13
  5. Step 5: Solve for x
    x = 368,481,909,829.13/702,422.57
  6. Step 6: Final answer
    x = 524,587.23

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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.