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Finding the Fourth Proportional to 254,568.64, 382,013.76 and 142,322.48

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Solution

The fourth proportional to 254,568.64, 382,013.76 and 142,322.48 is: 213,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,568.64 : 382,013.76 = 142,322.48 : x
  2. Step 2: Convert to fraction form
    254,568.64/382,013.76 = 142,322.48/x
  3. Step 3: Cross multiply
    254,568.64x = 382,013.76 × 142,322.48
  4. Step 4: Simplify right side
    254,568.64x = 54,369,145,717.32
  5. Step 5: Solve for x
    x = 54,369,145,717.32/254,568.64
  6. Step 6: Final answer
    x = 213,573.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.