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Finding the Fourth Proportional to 723,057.06, 997,816.14 and 400,764

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Solution

The fourth proportional to 723,057.06, 997,816.14 and 400,764 is: 553,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,057.06 : 997,816.14 = 400,764 : x
  2. Step 2: Convert to fraction form
    723,057.06/997,816.14 = 400,764/x
  3. Step 3: Cross multiply
    723,057.06x = 997,816.14 × 400,764
  4. Step 4: Simplify right side
    723,057.06x = 399,888,787,530.96
  5. Step 5: Solve for x
    x = 399,888,787,530.96/723,057.06
  6. Step 6: Final answer
    x = 553,052.88

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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.