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Finding the Fourth Proportional to 257,074.56, 354,770.40 and 143,894.40

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Solution

The fourth proportional to 257,074.56, 354,770.40 and 143,894.40 is: 198,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,074.56 : 354,770.40 = 143,894.40 : x
  2. Step 2: Convert to fraction form
    257,074.56/354,770.40 = 143,894.40/x
  3. Step 3: Cross multiply
    257,074.56x = 354,770.40 × 143,894.40
  4. Step 4: Simplify right side
    257,074.56x = 51,049,473,845.76
  5. Step 5: Solve for x
    x = 51,049,473,845.76/257,074.56
  6. Step 6: Final answer
    x = 198,578.47

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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.