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Finding the Fourth Proportional to 262,985.67, 394,090.25 and 120,479.40

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Solution

The fourth proportional to 262,985.67, 394,090.25 and 120,479.40 is: 180,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,985.67 : 394,090.25 = 120,479.40 : x
  2. Step 2: Convert to fraction form
    262,985.67/394,090.25 = 120,479.40/x
  3. Step 3: Cross multiply
    262,985.67x = 394,090.25 × 120,479.40
  4. Step 4: Simplify right side
    262,985.67x = 47,479,756,263.45
  5. Step 5: Solve for x
    x = 47,479,756,263.45/262,985.67
  6. Step 6: Final answer
    x = 180,541.23

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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.