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Finding the Fourth Proportional to 273,403.60, 410,105.40 and 188,985.40

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Solution

The fourth proportional to 273,403.60, 410,105.40 and 188,985.40 is: 283,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,403.60 : 410,105.40 = 188,985.40 : x
  2. Step 2: Convert to fraction form
    273,403.60/410,105.40 = 188,985.40/x
  3. Step 3: Cross multiply
    273,403.60x = 410,105.40 × 188,985.40
  4. Step 4: Simplify right side
    273,403.60x = 77,503,933,061.16
  5. Step 5: Solve for x
    x = 77,503,933,061.16/273,403.60
  6. Step 6: Final answer
    x = 283,478.10

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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.