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Finding the Fourth Proportional to 540,803.12, 811,391.92 and 203,940.38

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Solution

The fourth proportional to 540,803.12, 811,391.92 and 203,940.38 is: 305,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,803.12 : 811,391.92 = 203,940.38 : x
  2. Step 2: Convert to fraction form
    540,803.12/811,391.92 = 203,940.38/x
  3. Step 3: Cross multiply
    540,803.12x = 811,391.92 × 203,940.38
  4. Step 4: Simplify right side
    540,803.12x = 165,475,578,012.36
  5. Step 5: Solve for x
    x = 165,475,578,012.36/540,803.12
  6. Step 6: Final answer
    x = 305,981.19

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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.