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Finding the Fourth Proportional to 256,532.86, 354,012.73 and 143,355.61

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Solution

The fourth proportional to 256,532.86, 354,012.73 and 143,355.61 is: 197,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,532.86 : 354,012.73 = 143,355.61 : x
  2. Step 2: Convert to fraction form
    256,532.86/354,012.73 = 143,355.61/x
  3. Step 3: Cross multiply
    256,532.86x = 354,012.73 × 143,355.61
  4. Step 4: Simplify right side
    256,532.86x = 50,749,710,856.92
  5. Step 5: Solve for x
    x = 50,749,710,856.92/256,532.86
  6. Step 6: Final answer
    x = 197,829.28

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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.