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Finding the Fourth Proportional to 371,644.80, 512,858 and 210,514.72

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Solution

The fourth proportional to 371,644.80, 512,858 and 210,514.72 is: 290,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,644.80 : 512,858 = 210,514.72 : x
  2. Step 2: Convert to fraction form
    371,644.80/512,858 = 210,514.72/x
  3. Step 3: Cross multiply
    371,644.80x = 512,858 × 210,514.72
  4. Step 4: Simplify right side
    371,644.80x = 107,964,158,269.76
  5. Step 5: Solve for x
    x = 107,964,158,269.76/371,644.80
  6. Step 6: Final answer
    x = 290,503.62

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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.