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Finding the Fourth Proportional to 256,812.60, 354,402.18 and 143,628

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Solution

The fourth proportional to 256,812.60, 354,402.18 and 143,628 is: 198,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,812.60 : 354,402.18 = 143,628 : x
  2. Step 2: Convert to fraction form
    256,812.60/354,402.18 = 143,628/x
  3. Step 3: Cross multiply
    256,812.60x = 354,402.18 × 143,628
  4. Step 4: Simplify right side
    256,812.60x = 50,902,076,309.04
  5. Step 5: Solve for x
    x = 50,902,076,309.04/256,812.60
  6. Step 6: Final answer
    x = 198,207.08

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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.