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Finding the Fourth Proportional to 260,762.70, 390,690.45 and 120,233.10

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Solution

The fourth proportional to 260,762.70, 390,690.45 and 120,233.10 is: 180,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,762.70 : 390,690.45 = 120,233.10 : x
  2. Step 2: Convert to fraction form
    260,762.70/390,690.45 = 120,233.10/x
  3. Step 3: Cross multiply
    260,762.70x = 390,690.45 × 120,233.10
  4. Step 4: Simplify right side
    260,762.70x = 46,973,923,943.90
  5. Step 5: Solve for x
    x = 46,973,923,943.90/260,762.70
  6. Step 6: Final answer
    x = 180,140.50

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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.