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Finding the Fourth Proportional to 450,138.40, 675,207.60 and 282,176.80

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Solution

The fourth proportional to 450,138.40, 675,207.60 and 282,176.80 is: 423,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,138.40 : 675,207.60 = 282,176.80 : x
  2. Step 2: Convert to fraction form
    450,138.40/675,207.60 = 282,176.80/x
  3. Step 3: Cross multiply
    450,138.40x = 675,207.60 × 282,176.80
  4. Step 4: Simplify right side
    450,138.40x = 190,527,919,903.68
  5. Step 5: Solve for x
    x = 190,527,919,903.68/450,138.40
  6. Step 6: Final answer
    x = 423,265.20

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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.