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Finding the Fourth Proportional to 413,757, 570,985.20 and 234,909

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Solution

The fourth proportional to 413,757, 570,985.20 and 234,909 is: 324,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,757 : 570,985.20 = 234,909 : x
  2. Step 2: Convert to fraction form
    413,757/570,985.20 = 234,909/x
  3. Step 3: Cross multiply
    413,757x = 570,985.20 × 234,909
  4. Step 4: Simplify right side
    413,757x = 134,129,562,346.80
  5. Step 5: Solve for x
    x = 134,129,562,346.80/413,757
  6. Step 6: Final answer
    x = 324,174.73

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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.