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Finding the Fourth Proportional to 705,704.94, 973,658.27 and 399,732.71

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Solution

The fourth proportional to 705,704.94, 973,658.27 and 399,732.71 is: 551,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,704.94 : 973,658.27 = 399,732.71 : x
  2. Step 2: Convert to fraction form
    705,704.94/973,658.27 = 399,732.71/x
  3. Step 3: Cross multiply
    705,704.94x = 973,658.27 × 399,732.71
  4. Step 4: Simplify right side
    705,704.94x = 389,203,055,012.05
  5. Step 5: Solve for x
    x = 389,203,055,012.05/705,704.94
  6. Step 6: Final answer
    x = 551,509.61

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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.