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Finding the Fourth Proportional to 702,399.81, 969,314.16 and 380,109.81

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Solution

The fourth proportional to 702,399.81, 969,314.16 and 380,109.81 is: 524,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,399.81 : 969,314.16 = 380,109.81 : x
  2. Step 2: Convert to fraction form
    702,399.81/969,314.16 = 380,109.81/x
  3. Step 3: Cross multiply
    702,399.81x = 969,314.16 × 380,109.81
  4. Step 4: Simplify right side
    702,399.81x = 368,445,821,187.91
  5. Step 5: Solve for x
    x = 368,445,821,187.91/702,399.81
  6. Step 6: Final answer
    x = 524,552.85

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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.