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Finding the Fourth Proportional to 262,423.72, 393,632.98 and 120,228.66

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Solution

The fourth proportional to 262,423.72, 393,632.98 and 120,228.66 is: 180,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423.72 : 393,632.98 = 120,228.66 : x
  2. Step 2: Convert to fraction form
    262,423.72/393,632.98 = 120,228.66/x
  3. Step 3: Cross multiply
    262,423.72x = 393,632.98 × 120,228.66
  4. Step 4: Simplify right side
    262,423.72x = 47,325,965,717.21
  5. Step 5: Solve for x
    x = 47,325,965,717.21/262,423.72
  6. Step 6: Final answer
    x = 180,341.80

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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.