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Finding the Fourth Proportional to 256,597.34, 354,115.14 and 143,420

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Solution

The fourth proportional to 256,597.34, 354,115.14 and 143,420 is: 197,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.34 : 354,115.14 = 143,420 : x
  2. Step 2: Convert to fraction form
    256,597.34/354,115.14 = 143,420/x
  3. Step 3: Cross multiply
    256,597.34x = 354,115.14 × 143,420
  4. Step 4: Simplify right side
    256,597.34x = 50,787,193,378.80
  5. Step 5: Solve for x
    x = 50,787,193,378.80/256,597.34
  6. Step 6: Final answer
    x = 197,925.64

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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.