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Finding the Fourth Proportional to 371,590.43, 512,801.51 and 210,478.82

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Solution

The fourth proportional to 371,590.43, 512,801.51 and 210,478.82 is: 290,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,590.43 : 512,801.51 = 210,478.82 : x
  2. Step 2: Convert to fraction form
    371,590.43/512,801.51 = 210,478.82/x
  3. Step 3: Cross multiply
    371,590.43x = 512,801.51 × 210,478.82
  4. Step 4: Simplify right side
    371,590.43x = 107,933,853,102.62
  5. Step 5: Solve for x
    x = 107,933,853,102.62/371,590.43
  6. Step 6: Final answer
    x = 290,464.57

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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.