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Finding the Fourth Proportional to 408,263.90, 563,435.60 and 226,990.76

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Solution

The fourth proportional to 408,263.90, 563,435.60 and 226,990.76 is: 313,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,263.90 : 563,435.60 = 226,990.76 : x
  2. Step 2: Convert to fraction form
    408,263.90/563,435.60 = 226,990.76/x
  3. Step 3: Cross multiply
    408,263.90x = 563,435.60 × 226,990.76
  4. Step 4: Simplify right side
    408,263.90x = 127,894,671,102.92
  5. Step 5: Solve for x
    x = 127,894,671,102.92/408,263.90
  6. Step 6: Final answer
    x = 313,264.71

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1.5x scale

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.