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Finding the Fourth Proportional to 260,644.88, 390,941.40 and 120,401.48

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Solution

The fourth proportional to 260,644.88, 390,941.40 and 120,401.48 is: 180,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,644.88 : 390,941.40 = 120,401.48 : x
  2. Step 2: Convert to fraction form
    260,644.88/390,941.40 = 120,401.48/x
  3. Step 3: Cross multiply
    260,644.88x = 390,941.40 × 120,401.48
  4. Step 4: Simplify right side
    260,644.88x = 47,069,923,153.27
  5. Step 5: Solve for x
    x = 47,069,923,153.27/260,644.88
  6. Step 6: Final answer
    x = 180,590.25

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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.