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Finding the Fourth Proportional to 288,574.62, 432,861.93 and 78,212.56

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Solution

The fourth proportional to 288,574.62, 432,861.93 and 78,212.56 is: 117,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,574.62 : 432,861.93 = 78,212.56 : x
  2. Step 2: Convert to fraction form
    288,574.62/432,861.93 = 78,212.56/x
  3. Step 3: Cross multiply
    288,574.62x = 432,861.93 × 78,212.56
  4. Step 4: Simplify right side
    288,574.62x = 33,855,238,589.69
  5. Step 5: Solve for x
    x = 33,855,238,589.69/288,574.62
  6. Step 6: Final answer
    x = 117,318.84

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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.