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Finding the Fourth Proportional to 408,814.50, 563,681.34 and 279,815.10

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Solution

The fourth proportional to 408,814.50, 563,681.34 and 279,815.10 is: 385,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,814.50 : 563,681.34 = 279,815.10 : x
  2. Step 2: Convert to fraction form
    408,814.50/563,681.34 = 279,815.10/x
  3. Step 3: Cross multiply
    408,814.50x = 563,681.34 × 279,815.10
  4. Step 4: Simplify right side
    408,814.50x = 157,726,550,520.23
  5. Step 5: Solve for x
    x = 157,726,550,520.23/408,814.50
  6. Step 6: Final answer
    x = 385,814.47

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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.