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Finding the Fourth Proportional to 447,956.48, 618,154.80 and 256,952

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Solution

The fourth proportional to 447,956.48, 618,154.80 and 256,952 is: 354,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,956.48 : 618,154.80 = 256,952 : x
  2. Step 2: Convert to fraction form
    447,956.48/618,154.80 = 256,952/x
  3. Step 3: Cross multiply
    447,956.48x = 618,154.80 × 256,952
  4. Step 4: Simplify right side
    447,956.48x = 158,836,112,169.60
  5. Step 5: Solve for x
    x = 158,836,112,169.60/447,956.48
  6. Step 6: Final answer
    x = 354,579.34

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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.