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Finding the Fourth Proportional to 256,898.48, 354,533.64 and 143,701.52

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Solution

The fourth proportional to 256,898.48, 354,533.64 and 143,701.52 is: 198,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,898.48 : 354,533.64 = 143,701.52 : x
  2. Step 2: Convert to fraction form
    256,898.48/354,533.64 = 143,701.52/x
  3. Step 3: Cross multiply
    256,898.48x = 354,533.64 × 143,701.52
  4. Step 4: Simplify right side
    256,898.48x = 50,947,022,959.13
  5. Step 5: Solve for x
    x = 50,947,022,959.13/256,898.48
  6. Step 6: Final answer
    x = 198,315.78

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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.