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Finding the Fourth Proportional to 288,682.82, 433,024.44 and 78,320.74

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Solution

The fourth proportional to 288,682.82, 433,024.44 and 78,320.74 is: 117,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,682.82 : 433,024.44 = 78,320.74 : x
  2. Step 2: Convert to fraction form
    288,682.82/433,024.44 = 78,320.74/x
  3. Step 3: Cross multiply
    288,682.82x = 433,024.44 × 78,320.74
  4. Step 4: Simplify right side
    288,682.82x = 33,914,794,578.89
  5. Step 5: Solve for x
    x = 33,914,794,578.89/288,682.82
  6. Step 6: Final answer
    x = 117,481.17

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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.