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Finding the Fourth Proportional to 561,858.80, 842,765.85 and 309,639.38

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Solution

The fourth proportional to 561,858.80, 842,765.85 and 309,639.38 is: 464,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,858.80 : 842,765.85 = 309,639.38 : x
  2. Step 2: Convert to fraction form
    561,858.80/842,765.85 = 309,639.38/x
  3. Step 3: Cross multiply
    561,858.80x = 842,765.85 × 309,639.38
  4. Step 4: Simplify right side
    561,858.80x = 260,953,491,065.34
  5. Step 5: Solve for x
    x = 260,953,491,065.34/561,858.80
  6. Step 6: Final answer
    x = 464,446.75

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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.