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Finding the Fourth Proportional to 406,135.60, 609,762.40 and 206,591

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Solution

The fourth proportional to 406,135.60, 609,762.40 and 206,591 is: 310,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,135.60 : 609,762.40 = 206,591 : x
  2. Step 2: Convert to fraction form
    406,135.60/609,762.40 = 206,591/x
  3. Step 3: Cross multiply
    406,135.60x = 609,762.40 × 206,591
  4. Step 4: Simplify right side
    406,135.60x = 125,971,423,978.40
  5. Step 5: Solve for x
    x = 125,971,423,978.40/406,135.60
  6. Step 6: Final answer
    x = 310,170.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.