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Finding the Fourth Proportional to 256,533.12, 354,013.08 and 143,355.86

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Solution

The fourth proportional to 256,533.12, 354,013.08 and 143,355.86 is: 197,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,533.12 : 354,013.08 = 143,355.86 : x
  2. Step 2: Convert to fraction form
    256,533.12/354,013.08 = 143,355.86/x
  3. Step 3: Cross multiply
    256,533.12x = 354,013.08 × 143,355.86
  4. Step 4: Simplify right side
    256,533.12x = 50,749,849,534.65
  5. Step 5: Solve for x
    x = 50,749,849,534.65/256,533.12
  6. Step 6: Final answer
    x = 197,829.62

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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.