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Finding the Fourth Proportional to 288,725.42, 433,161.93 and 120,189.71

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Solution

The fourth proportional to 288,725.42, 433,161.93 and 120,189.71 is: 180,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,725.42 : 433,161.93 = 120,189.71 : x
  2. Step 2: Convert to fraction form
    288,725.42/433,161.93 = 120,189.71/x
  3. Step 3: Cross multiply
    288,725.42x = 433,161.93 × 120,189.71
  4. Step 4: Simplify right side
    288,725.42x = 52,061,606,749.74
  5. Step 5: Solve for x
    x = 52,061,606,749.74/288,725.42
  6. Step 6: Final answer
    x = 180,315.29

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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.