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Finding the Fourth Proportional to 289,135.38, 433,469.34 and 120,784.68

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Solution

The fourth proportional to 289,135.38, 433,469.34 and 120,784.68 is: 181,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,135.38 : 433,469.34 = 120,784.68 : x
  2. Step 2: Convert to fraction form
    289,135.38/433,469.34 = 120,784.68/x
  3. Step 3: Cross multiply
    289,135.38x = 433,469.34 × 120,784.68
  4. Step 4: Simplify right side
    289,135.38x = 52,356,455,521.71
  5. Step 5: Solve for x
    x = 52,356,455,521.71/289,135.38
  6. Step 6: Final answer
    x = 181,079.38

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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.