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Finding the Fourth Proportional to 408,959.20, 563,996.27 and 256,011.32

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Solution

The fourth proportional to 408,959.20, 563,996.27 and 256,011.32 is: 353,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,959.20 : 563,996.27 = 256,011.32 : x
  2. Step 2: Convert to fraction form
    408,959.20/563,996.27 = 256,011.32/x
  3. Step 3: Cross multiply
    408,959.20x = 563,996.27 × 256,011.32
  4. Step 4: Simplify right side
    408,959.20x = 144,389,429,492.81
  5. Step 5: Solve for x
    x = 144,389,429,492.81/408,959.20
  6. Step 6: Final answer
    x = 353,065.61

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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.