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Finding the Fourth Proportional to 314,258.39, 471,431.86 and 100,954.78

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Solution

The fourth proportional to 314,258.39, 471,431.86 and 100,954.78 is: 151,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,258.39 : 471,431.86 = 100,954.78 : x
  2. Step 2: Convert to fraction form
    314,258.39/471,431.86 = 100,954.78/x
  3. Step 3: Cross multiply
    314,258.39x = 471,431.86 × 100,954.78
  4. Step 4: Simplify right side
    314,258.39x = 47,593,299,711.29
  5. Step 5: Solve for x
    x = 47,593,299,711.29/314,258.39
  6. Step 6: Final answer
    x = 151,446.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.