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Finding the Fourth Proportional to 260,643.88, 390,939.90 and 120,400.48

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Solution

The fourth proportional to 260,643.88, 390,939.90 and 120,400.48 is: 180,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,643.88 : 390,939.90 = 120,400.48 : x
  2. Step 2: Convert to fraction form
    260,643.88/390,939.90 = 120,400.48/x
  3. Step 3: Cross multiply
    260,643.88x = 390,939.90 × 120,400.48
  4. Step 4: Simplify right side
    260,643.88x = 47,069,351,611.15
  5. Step 5: Solve for x
    x = 47,069,351,611.15/260,643.88
  6. Step 6: Final answer
    x = 180,588.75

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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.