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Finding the Fourth Proportional to 307,729, 424,614.72 and 205,590.70

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Solution

The fourth proportional to 307,729, 424,614.72 and 205,590.70 is: 283,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,729 : 424,614.72 = 205,590.70 : x
  2. Step 2: Convert to fraction form
    307,729/424,614.72 = 205,590.70/x
  3. Step 3: Cross multiply
    307,729x = 424,614.72 × 205,590.70
  4. Step 4: Simplify right side
    307,729x = 87,296,837,515.10
  5. Step 5: Solve for x
    x = 87,296,837,515.10/307,729
  6. Step 6: Final answer
    x = 283,680.89

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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.