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Finding the Fourth Proportional to 406,130.83, 609,755.28 and 206,586.25

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Solution

The fourth proportional to 406,130.83, 609,755.28 and 206,586.25 is: 310,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,130.83 : 609,755.28 = 206,586.25 : x
  2. Step 2: Convert to fraction form
    406,130.83/609,755.28 = 206,586.25/x
  3. Step 3: Cross multiply
    406,130.83x = 609,755.28 × 206,586.25
  4. Step 4: Simplify right side
    406,130.83x = 125,967,056,712.90
  5. Step 5: Solve for x
    x = 125,967,056,712.90/406,130.83
  6. Step 6: Final answer
    x = 310,163.74

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1.5x scale

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.