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Finding the Fourth Proportional to 209,577.60, 313,748.64 and 138,369.60

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Solution

The fourth proportional to 209,577.60, 313,748.64 and 138,369.60 is: 207,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,577.60 : 313,748.64 = 138,369.60 : x
  2. Step 2: Convert to fraction form
    209,577.60/313,748.64 = 138,369.60/x
  3. Step 3: Cross multiply
    209,577.60x = 313,748.64 × 138,369.60
  4. Step 4: Simplify right side
    209,577.60x = 43,413,273,817.34
  5. Step 5: Solve for x
    x = 43,413,273,817.34/209,577.60
  6. Step 6: Final answer
    x = 207,146.54

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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.