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Finding the Fourth Proportional to 289,139.62, 433,709.22 and 120,739.24

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Solution

The fourth proportional to 289,139.62, 433,709.22 and 120,739.24 is: 181,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,139.62 : 433,709.22 = 120,739.24 : x
  2. Step 2: Convert to fraction form
    289,139.62/433,709.22 = 120,739.24/x
  3. Step 3: Cross multiply
    289,139.62x = 433,709.22 × 120,739.24
  4. Step 4: Simplify right side
    289,139.62x = 52,365,721,603.79
  5. Step 5: Solve for x
    x = 52,365,721,603.79/289,139.62
  6. Step 6: Final answer
    x = 181,108.77

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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.