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Finding the Fourth Proportional to 702,695.74, 969,720.44 and 380,405.83

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Solution

The fourth proportional to 702,695.74, 969,720.44 and 380,405.83 is: 524,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,695.74 : 969,720.44 = 380,405.83 : x
  2. Step 2: Convert to fraction form
    702,695.74/969,720.44 = 380,405.83/x
  3. Step 3: Cross multiply
    702,695.74x = 969,720.44 × 380,405.83
  4. Step 4: Simplify right side
    702,695.74x = 368,887,308,846.17
  5. Step 5: Solve for x
    x = 368,887,308,846.17/702,695.74
  6. Step 6: Final answer
    x = 524,960.22

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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.