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Finding the Fourth Proportional to 408,428.80, 611,768.40 and 266,711.20

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Solution

The fourth proportional to 408,428.80, 611,768.40 and 266,711.20 is: 399,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,428.80 : 611,768.40 = 266,711.20 : x
  2. Step 2: Convert to fraction form
    408,428.80/611,768.40 = 266,711.20/x
  3. Step 3: Cross multiply
    408,428.80x = 611,768.40 × 266,711.20
  4. Step 4: Simplify right side
    408,428.80x = 163,165,484,086.08
  5. Step 5: Solve for x
    x = 163,165,484,086.08/408,428.80
  6. Step 6: Final answer
    x = 399,495.54

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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.