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Finding the Fourth Proportional to 408,140.28, 611,192.25 and 257,927.40

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Solution

The fourth proportional to 408,140.28, 611,192.25 and 257,927.40 is: 386,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,140.28 : 611,192.25 = 257,927.40 : x
  2. Step 2: Convert to fraction form
    408,140.28/611,192.25 = 257,927.40/x
  3. Step 3: Cross multiply
    408,140.28x = 611,192.25 × 257,927.40
  4. Step 4: Simplify right side
    408,140.28x = 157,643,227,942.65
  5. Step 5: Solve for x
    x = 157,643,227,942.65/408,140.28
  6. Step 6: Final answer
    x = 386,247.66

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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.