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Finding the Fourth Proportional to 510,091.02, 703,851.32 and 306,098.60

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Solution

The fourth proportional to 510,091.02, 703,851.32 and 306,098.60 is: 422,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,091.02 : 703,851.32 = 306,098.60 : x
  2. Step 2: Convert to fraction form
    510,091.02/703,851.32 = 306,098.60/x
  3. Step 3: Cross multiply
    510,091.02x = 703,851.32 × 306,098.60
  4. Step 4: Simplify right side
    510,091.02x = 215,447,900,906.14
  5. Step 5: Solve for x
    x = 215,447,900,906.14/510,091.02
  6. Step 6: Final answer
    x = 422,371.48

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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.