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Finding the Fourth Proportional to 288,256.68, 432,394.74 and 77,896.44

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Solution

The fourth proportional to 288,256.68, 432,394.74 and 77,896.44 is: 116,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,256.68 : 432,394.74 = 77,896.44 : x
  2. Step 2: Convert to fraction form
    288,256.68/432,394.74 = 77,896.44/x
  3. Step 3: Cross multiply
    288,256.68x = 432,394.74 × 77,896.44
  4. Step 4: Simplify right side
    288,256.68x = 33,682,010,920.73
  5. Step 5: Solve for x
    x = 33,682,010,920.73/288,256.68
  6. Step 6: Final answer
    x = 116,847.29

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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.