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Finding the Fourth Proportional to 702,344.75, 969,238.32 and 380,054.87

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Solution

The fourth proportional to 702,344.75, 969,238.32 and 380,054.87 is: 524,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,344.75 : 969,238.32 = 380,054.87 : x
  2. Step 2: Convert to fraction form
    702,344.75/969,238.32 = 380,054.87/x
  3. Step 3: Cross multiply
    702,344.75x = 969,238.32 × 380,054.87
  4. Step 4: Simplify right side
    702,344.75x = 368,363,738,860.43
  5. Step 5: Solve for x
    x = 368,363,738,860.43/702,344.75
  6. Step 6: Final answer
    x = 524,477.11

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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.