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Finding the Fourth Proportional to 262,666.70, 394,034.10 and 120,477.68

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Solution

The fourth proportional to 262,666.70, 394,034.10 and 120,477.68 is: 180,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,666.70 : 394,034.10 = 120,477.68 : x
  2. Step 2: Convert to fraction form
    262,666.70/394,034.10 = 120,477.68/x
  3. Step 3: Cross multiply
    262,666.70x = 394,034.10 × 120,477.68
  4. Step 4: Simplify right side
    262,666.70x = 47,472,314,208.89
  5. Step 5: Solve for x
    x = 47,472,314,208.89/262,666.70
  6. Step 6: Final answer
    x = 180,732.14

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1.5x scale

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.