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Finding the Fourth Proportional to 408,811.32, 563,676.84 and 279,812.07

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Solution

The fourth proportional to 408,811.32, 563,676.84 and 279,812.07 is: 385,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,811.32 : 563,676.84 = 279,812.07 : x
  2. Step 2: Convert to fraction form
    408,811.32/563,676.84 = 279,812.07/x
  3. Step 3: Cross multiply
    408,811.32x = 563,676.84 × 279,812.07
  4. Step 4: Simplify right side
    408,811.32x = 157,723,583,411.46
  5. Step 5: Solve for x
    x = 157,723,583,411.46/408,811.32
  6. Step 6: Final answer
    x = 385,810.22

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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.