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Finding the Fourth Proportional to 399,732.74, 551,639.08 and 218,455.90

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Solution

The fourth proportional to 399,732.74, 551,639.08 and 218,455.90 is: 301,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,732.74 : 551,639.08 = 218,455.90 : x
  2. Step 2: Convert to fraction form
    399,732.74/551,639.08 = 218,455.90/x
  3. Step 3: Cross multiply
    399,732.74x = 551,639.08 × 218,455.90
  4. Step 4: Simplify right side
    399,732.74x = 120,508,811,696.57
  5. Step 5: Solve for x
    x = 120,508,811,696.57/399,732.74
  6. Step 6: Final answer
    x = 301,473.46

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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.