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Finding the Fourth Proportional to 375,214.45, 517,790.80 and 205,448.58

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Solution

The fourth proportional to 375,214.45, 517,790.80 and 205,448.58 is: 283,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,214.45 : 517,790.80 = 205,448.58 : x
  2. Step 2: Convert to fraction form
    375,214.45/517,790.80 = 205,448.58/x
  3. Step 3: Cross multiply
    375,214.45x = 517,790.80 × 205,448.58
  4. Step 4: Simplify right side
    375,214.45x = 106,379,384,597.06
  5. Step 5: Solve for x
    x = 106,379,384,597.06/375,214.45
  6. Step 6: Final answer
    x = 283,516.23

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1.5x scale

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.