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Finding the Fourth Proportional to 557,411.81, 769,011.95 and 394,308.08

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Solution

The fourth proportional to 557,411.81, 769,011.95 and 394,308.08 is: 543,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,411.81 : 769,011.95 = 394,308.08 : x
  2. Step 2: Convert to fraction form
    557,411.81/769,011.95 = 394,308.08/x
  3. Step 3: Cross multiply
    557,411.81x = 769,011.95 × 394,308.08
  4. Step 4: Simplify right side
    557,411.81x = 303,227,628,742.76
  5. Step 5: Solve for x
    x = 303,227,628,742.76/557,411.81
  6. Step 6: Final answer
    x = 543,992.11

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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.