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Finding the Fourth Proportional to 260,408.93, 359,374.54 and 152,978.03

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Solution

The fourth proportional to 260,408.93, 359,374.54 and 152,978.03 is: 211,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408.93 : 359,374.54 = 152,978.03 : x
  2. Step 2: Convert to fraction form
    260,408.93/359,374.54 = 152,978.03/x
  3. Step 3: Cross multiply
    260,408.93x = 359,374.54 × 152,978.03
  4. Step 4: Simplify right side
    260,408.93x = 54,976,407,364.48
  5. Step 5: Solve for x
    x = 54,976,407,364.48/260,408.93
  6. Step 6: Final answer
    x = 211,115.68

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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.