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Finding the Fourth Proportional to 408,038.13, 563,056.80 and 226,738.57

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Solution

The fourth proportional to 408,038.13, 563,056.80 and 226,738.57 is: 312,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,038.13 : 563,056.80 = 226,738.57 : x
  2. Step 2: Convert to fraction form
    408,038.13/563,056.80 = 226,738.57/x
  3. Step 3: Cross multiply
    408,038.13x = 563,056.80 × 226,738.57
  4. Step 4: Simplify right side
    408,038.13x = 127,666,692,527.08
  5. Step 5: Solve for x
    x = 127,666,692,527.08/408,038.13
  6. Step 6: Final answer
    x = 312,879.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.