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Finding the Fourth Proportional to 274,917.60, 411,982.80 and 156,338.40

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Solution

The fourth proportional to 274,917.60, 411,982.80 and 156,338.40 is: 234,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,917.60 : 411,982.80 = 156,338.40 : x
  2. Step 2: Convert to fraction form
    274,917.60/411,982.80 = 156,338.40/x
  3. Step 3: Cross multiply
    274,917.60x = 411,982.80 × 156,338.40
  4. Step 4: Simplify right side
    274,917.60x = 64,408,731,779.52
  5. Step 5: Solve for x
    x = 64,408,731,779.52/274,917.60
  6. Step 6: Final answer
    x = 234,283.77

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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.