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Finding the Fourth Proportional to 408,304.68, 563,463.94 and 265,118.76

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Solution

The fourth proportional to 408,304.68, 563,463.94 and 265,118.76 is: 365,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,304.68 : 563,463.94 = 265,118.76 : x
  2. Step 2: Convert to fraction form
    408,304.68/563,463.94 = 265,118.76/x
  3. Step 3: Cross multiply
    408,304.68x = 563,463.94 × 265,118.76
  4. Step 4: Simplify right side
    408,304.68x = 149,384,861,077.51
  5. Step 5: Solve for x
    x = 149,384,861,077.51/408,304.68
  6. Step 6: Final answer
    x = 365,866.15

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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.