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Finding the Fourth Proportional to 256,530.12, 354,008.94 and 143,352.86

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Solution

The fourth proportional to 256,530.12, 354,008.94 and 143,352.86 is: 197,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,530.12 : 354,008.94 = 143,352.86 : x
  2. Step 2: Convert to fraction form
    256,530.12/354,008.94 = 143,352.86/x
  3. Step 3: Cross multiply
    256,530.12x = 354,008.94 × 143,352.86
  4. Step 4: Simplify right side
    256,530.12x = 50,748,194,014.57
  5. Step 5: Solve for x
    x = 50,748,194,014.57/256,530.12
  6. Step 6: Final answer
    x = 197,825.48

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1.5x scale

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.