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Finding the Fourth Proportional to 300,029.28, 450,265.38 and 142,258.32

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Solution

The fourth proportional to 300,029.28, 450,265.38 and 142,258.32 is: 213,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,029.28 : 450,265.38 = 142,258.32 : x
  2. Step 2: Convert to fraction form
    300,029.28/450,265.38 = 142,258.32/x
  3. Step 3: Cross multiply
    300,029.28x = 450,265.38 × 142,258.32
  4. Step 4: Simplify right side
    300,029.28x = 64,053,996,512.96
  5. Step 5: Solve for x
    x = 64,053,996,512.96/300,029.28
  6. Step 6: Final answer
    x = 213,492.48

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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.