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Finding the Fourth Proportional to 427,709.54, 590,215.70 and 243,921.14

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Solution

The fourth proportional to 427,709.54, 590,215.70 and 243,921.14 is: 336,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,709.54 : 590,215.70 = 243,921.14 : x
  2. Step 2: Convert to fraction form
    427,709.54/590,215.70 = 243,921.14/x
  3. Step 3: Cross multiply
    427,709.54x = 590,215.70 × 243,921.14
  4. Step 4: Simplify right side
    427,709.54x = 143,966,086,389.90
  5. Step 5: Solve for x
    x = 143,966,086,389.90/427,709.54
  6. Step 6: Final answer
    x = 336,597.79

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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.