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Finding the Fourth Proportional to 389,676.20, 584,111.10 and 211,807.40

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Solution

The fourth proportional to 389,676.20, 584,111.10 and 211,807.40 is: 317,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,676.20 : 584,111.10 = 211,807.40 : x
  2. Step 2: Convert to fraction form
    389,676.20/584,111.10 = 211,807.40/x
  3. Step 3: Cross multiply
    389,676.20x = 584,111.10 × 211,807.40
  4. Step 4: Simplify right side
    389,676.20x = 123,719,053,402.14
  5. Step 5: Solve for x
    x = 123,719,053,402.14/389,676.20
  6. Step 6: Final answer
    x = 317,491.94

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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.