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Finding the Fourth Proportional to 456,470.28, 629,959.86 and 255,267.72

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Solution

The fourth proportional to 456,470.28, 629,959.86 and 255,267.72 is: 352,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470.28 : 629,959.86 = 255,267.72 : x
  2. Step 2: Convert to fraction form
    456,470.28/629,959.86 = 255,267.72/x
  3. Step 3: Cross multiply
    456,470.28x = 629,959.86 × 255,267.72
  4. Step 4: Simplify right side
    456,470.28x = 160,808,417,153.72
  5. Step 5: Solve for x
    x = 160,808,417,153.72/456,470.28
  6. Step 6: Final answer
    x = 352,286.72

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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.