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Finding the Fourth Proportional to 275,341.95, 413,314.61 and 218,779.43

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Solution

The fourth proportional to 275,341.95, 413,314.61 and 218,779.43 is: 328,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,341.95 : 413,314.61 = 218,779.43 : x
  2. Step 2: Convert to fraction form
    275,341.95/413,314.61 = 218,779.43/x
  3. Step 3: Cross multiply
    275,341.95x = 413,314.61 × 218,779.43
  4. Step 4: Simplify right side
    275,341.95x = 90,424,731,626.00
  5. Step 5: Solve for x
    x = 90,424,731,626.00/275,341.95
  6. Step 6: Final answer
    x = 328,408.84

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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.