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Finding the Fourth Proportional to 702,309.08, 969,183.42 and 380,024.89

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Solution

The fourth proportional to 702,309.08, 969,183.42 and 380,024.89 is: 524,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,309.08 : 969,183.42 = 380,024.89 : x
  2. Step 2: Convert to fraction form
    702,309.08/969,183.42 = 380,024.89/x
  3. Step 3: Cross multiply
    702,309.08x = 969,183.42 × 380,024.89
  4. Step 4: Simplify right side
    702,309.08x = 368,313,817,729.41
  5. Step 5: Solve for x
    x = 368,313,817,729.41/702,309.08
  6. Step 6: Final answer
    x = 524,432.66

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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.