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Finding the Fourth Proportional to 289,731.12, 434,508.28 and 200,348.43

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Solution

The fourth proportional to 289,731.12, 434,508.28 and 200,348.43 is: 300,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,731.12 : 434,508.28 = 200,348.43 : x
  2. Step 2: Convert to fraction form
    289,731.12/434,508.28 = 200,348.43/x
  3. Step 3: Cross multiply
    289,731.12x = 434,508.28 × 200,348.43
  4. Step 4: Simplify right side
    289,731.12x = 87,053,051,720.00
  5. Step 5: Solve for x
    x = 87,053,051,720.00/289,731.12
  6. Step 6: Final answer
    x = 300,461.52

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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.