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Finding the Fourth Proportional to 456,318, 629,721 and 255,152.88

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Solution

The fourth proportional to 456,318, 629,721 and 255,152.88 is: 352,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,318 : 629,721 = 255,152.88 : x
  2. Step 2: Convert to fraction form
    456,318/629,721 = 255,152.88/x
  3. Step 3: Cross multiply
    456,318x = 629,721 × 255,152.88
  4. Step 4: Simplify right side
    456,318x = 160,675,126,746.48
  5. Step 5: Solve for x
    x = 160,675,126,746.48/456,318
  6. Step 6: Final answer
    x = 352,112.18

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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.