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Finding the Fourth Proportional to 551,676.10, 761,313.69 and 309,958.54

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Solution

The fourth proportional to 551,676.10, 761,313.69 and 309,958.54 is: 427,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,676.10 : 761,313.69 = 309,958.54 : x
  2. Step 2: Convert to fraction form
    551,676.10/761,313.69 = 309,958.54/x
  3. Step 3: Cross multiply
    551,676.10x = 761,313.69 × 309,958.54
  4. Step 4: Simplify right side
    551,676.10x = 235,975,679,834.41
  5. Step 5: Solve for x
    x = 235,975,679,834.41/551,676.10
  6. Step 6: Final answer
    x = 427,743.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.