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Finding the Fourth Proportional to 288,575.81, 432,863.71 and 78,213.75

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Solution

The fourth proportional to 288,575.81, 432,863.71 and 78,213.75 is: 117,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.81 : 432,863.71 = 78,213.75 : x
  2. Step 2: Convert to fraction form
    288,575.81/432,863.71 = 78,213.75/x
  3. Step 3: Cross multiply
    288,575.81x = 432,863.71 × 78,213.75
  4. Step 4: Simplify right side
    288,575.81x = 33,855,893,998.01
  5. Step 5: Solve for x
    x = 33,855,893,998.01/288,575.81
  6. Step 6: Final answer
    x = 117,320.62

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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.