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Finding the Fourth Proportional to 413,818.70, 620,728.05 and 413,818.70

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Solution

The fourth proportional to 413,818.70, 620,728.05 and 413,818.70 is: 620,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,818.70 : 620,728.05 = 413,818.70 : x
  2. Step 2: Convert to fraction form
    413,818.70/620,728.05 = 413,818.70/x
  3. Step 3: Cross multiply
    413,818.70x = 620,728.05 × 413,818.70
  4. Step 4: Simplify right side
    413,818.70x = 256,868,874,704.54
  5. Step 5: Solve for x
    x = 256,868,874,704.54/413,818.70
  6. Step 6: Final answer
    x = 620,728.05

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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.