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Finding the Fourth Proportional to 551,342.24, 760,849.41 and 309,635

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Solution

The fourth proportional to 551,342.24, 760,849.41 and 309,635 is: 427,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,342.24 : 760,849.41 = 309,635 : x
  2. Step 2: Convert to fraction form
    551,342.24/760,849.41 = 309,635/x
  3. Step 3: Cross multiply
    551,342.24x = 760,849.41 × 309,635
  4. Step 4: Simplify right side
    551,342.24x = 235,585,607,065.35
  5. Step 5: Solve for x
    x = 235,585,607,065.35/551,342.24
  6. Step 6: Final answer
    x = 427,294.68

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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.