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Finding the Fourth Proportional to 289,820.70, 434,528.55 and 171,431.10

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Solution

The fourth proportional to 289,820.70, 434,528.55 and 171,431.10 is: 257,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,820.70 : 434,528.55 = 171,431.10 : x
  2. Step 2: Convert to fraction form
    289,820.70/434,528.55 = 171,431.10/x
  3. Step 3: Cross multiply
    289,820.70x = 434,528.55 × 171,431.10
  4. Step 4: Simplify right side
    289,820.70x = 74,491,707,307.91
  5. Step 5: Solve for x
    x = 74,491,707,307.91/289,820.70
  6. Step 6: Final answer
    x = 257,026.87

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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.