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Finding the Fourth Proportional to 408,362.40, 563,507.28 and 238,577.76

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Solution

The fourth proportional to 408,362.40, 563,507.28 and 238,577.76 is: 329,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,362.40 : 563,507.28 = 238,577.76 : x
  2. Step 2: Convert to fraction form
    408,362.40/563,507.28 = 238,577.76/x
  3. Step 3: Cross multiply
    408,362.40x = 563,507.28 × 238,577.76
  4. Step 4: Simplify right side
    408,362.40x = 134,440,304,606.09
  5. Step 5: Solve for x
    x = 134,440,304,606.09/408,362.40
  6. Step 6: Final answer
    x = 329,218.13

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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.