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Finding the Fourth Proportional to 406,362.86, 609,584.38 and 140,088.32

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Solution

The fourth proportional to 406,362.86, 609,584.38 and 140,088.32 is: 210,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,362.86 : 609,584.38 = 140,088.32 : x
  2. Step 2: Convert to fraction form
    406,362.86/609,584.38 = 140,088.32/x
  3. Step 3: Cross multiply
    406,362.86x = 609,584.38 × 140,088.32
  4. Step 4: Simplify right side
    406,362.86x = 85,395,651,692.44
  5. Step 5: Solve for x
    x = 85,395,651,692.44/406,362.86
  6. Step 6: Final answer
    x = 210,146.30

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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.