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Finding the Fourth Proportional to 281,411.60, 422,117.40 and 84,419.60

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Solution

The fourth proportional to 281,411.60, 422,117.40 and 84,419.60 is: 126,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,411.60 : 422,117.40 = 84,419.60 : x
  2. Step 2: Convert to fraction form
    281,411.60/422,117.40 = 84,419.60/x
  3. Step 3: Cross multiply
    281,411.60x = 422,117.40 × 84,419.60
  4. Step 4: Simplify right side
    281,411.60x = 35,634,982,061.04
  5. Step 5: Solve for x
    x = 35,634,982,061.04/281,411.60
  6. Step 6: Final answer
    x = 126,629.40

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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.