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Finding the Fourth Proportional to 408,942.95, 564,813.61 and 272,740.23

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Solution

The fourth proportional to 408,942.95, 564,813.61 and 272,740.23 is: 376,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,942.95 : 564,813.61 = 272,740.23 : x
  2. Step 2: Convert to fraction form
    408,942.95/564,813.61 = 272,740.23/x
  3. Step 3: Cross multiply
    408,942.95x = 564,813.61 × 272,740.23
  4. Step 4: Simplify right side
    408,942.95x = 154,047,393,216.68
  5. Step 5: Solve for x
    x = 154,047,393,216.68/408,942.95
  6. Step 6: Final answer
    x = 376,696.54

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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.