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Finding the Fourth Proportional to 256,584.64, 354,080.68 and 143,417.92

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Solution

The fourth proportional to 256,584.64, 354,080.68 and 143,417.92 is: 197,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,584.64 : 354,080.68 = 143,417.92 : x
  2. Step 2: Convert to fraction form
    256,584.64/354,080.68 = 143,417.92/x
  3. Step 3: Cross multiply
    256,584.64x = 354,080.68 × 143,417.92
  4. Step 4: Simplify right side
    256,584.64x = 50,781,513,394.04
  5. Step 5: Solve for x
    x = 50,781,513,394.04/256,584.64
  6. Step 6: Final answer
    x = 197,913.30

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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.