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Finding the Fourth Proportional to 289,311.90, 433,903.05 and 190,167.90

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Solution

The fourth proportional to 289,311.90, 433,903.05 and 190,167.90 is: 285,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,311.90 : 433,903.05 = 190,167.90 : x
  2. Step 2: Convert to fraction form
    289,311.90/433,903.05 = 190,167.90/x
  3. Step 3: Cross multiply
    289,311.90x = 433,903.05 × 190,167.90
  4. Step 4: Simplify right side
    289,311.90x = 82,514,431,822.10
  5. Step 5: Solve for x
    x = 82,514,431,822.10/289,311.90
  6. Step 6: Final answer
    x = 285,209.26

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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.