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Finding the Fourth Proportional to 325,143.76, 447,701.28 and 284,630.80

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Solution

The fourth proportional to 325,143.76, 447,701.28 and 284,630.80 is: 391,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,143.76 : 447,701.28 = 284,630.80 : x
  2. Step 2: Convert to fraction form
    325,143.76/447,701.28 = 284,630.80/x
  3. Step 3: Cross multiply
    325,143.76x = 447,701.28 × 284,630.80
  4. Step 4: Simplify right side
    325,143.76x = 127,429,573,487.42
  5. Step 5: Solve for x
    x = 127,429,573,487.42/325,143.76
  6. Step 6: Final answer
    x = 391,917.64

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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.