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Finding the Fourth Proportional to 702,398.96, 969,313.01 and 380,108.97

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Solution

The fourth proportional to 702,398.96, 969,313.01 and 380,108.97 is: 524,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,398.96 : 969,313.01 = 380,108.97 : x
  2. Step 2: Convert to fraction form
    702,398.96/969,313.01 = 380,108.97/x
  3. Step 3: Cross multiply
    702,398.96x = 969,313.01 × 380,108.97
  4. Step 4: Simplify right side
    702,398.96x = 368,444,567,938.16
  5. Step 5: Solve for x
    x = 368,444,567,938.16/702,398.96
  6. Step 6: Final answer
    x = 524,551.70

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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.