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Finding the Fourth Proportional to 260,408.79, 359,374.37 and 152,977.88

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Solution

The fourth proportional to 260,408.79, 359,374.37 and 152,977.88 is: 211,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408.79 : 359,374.37 = 152,977.88 : x
  2. Step 2: Convert to fraction form
    260,408.79/359,374.37 = 152,977.88/x
  3. Step 3: Cross multiply
    260,408.79x = 359,374.37 × 152,977.88
  4. Step 4: Simplify right side
    260,408.79x = 54,976,329,382.48
  5. Step 5: Solve for x
    x = 54,976,329,382.48/260,408.79
  6. Step 6: Final answer
    x = 211,115.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.