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Finding the Fourth Proportional to 611,313.14, 915,776.84 and 400,311.38

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Solution

The fourth proportional to 611,313.14, 915,776.84 and 400,311.38 is: 599,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,313.14 : 915,776.84 = 400,311.38 : x
  2. Step 2: Convert to fraction form
    611,313.14/915,776.84 = 400,311.38/x
  3. Step 3: Cross multiply
    611,313.14x = 915,776.84 × 400,311.38
  4. Step 4: Simplify right side
    611,313.14x = 366,595,887,014.33
  5. Step 5: Solve for x
    x = 366,595,887,014.33/611,313.14
  6. Step 6: Final answer
    x = 599,685.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.