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Finding the Fourth Proportional to 557,688.12, 769,614.45 and 303,039.31

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Solution

The fourth proportional to 557,688.12, 769,614.45 and 303,039.31 is: 418,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,688.12 : 769,614.45 = 303,039.31 : x
  2. Step 2: Convert to fraction form
    557,688.12/769,614.45 = 303,039.31/x
  3. Step 3: Cross multiply
    557,688.12x = 769,614.45 × 303,039.31
  4. Step 4: Simplify right side
    557,688.12x = 233,223,426,530.76
  5. Step 5: Solve for x
    x = 233,223,426,530.76/557,688.12
  6. Step 6: Final answer
    x = 418,196.87

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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.