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Finding the Fourth Proportional to 288,578.94, 432,868.41 and 78,216.87

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Solution

The fourth proportional to 288,578.94, 432,868.41 and 78,216.87 is: 117,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,578.94 : 432,868.41 = 78,216.87 : x
  2. Step 2: Convert to fraction form
    288,578.94/432,868.41 = 78,216.87/x
  3. Step 3: Cross multiply
    288,578.94x = 432,868.41 × 78,216.87
  4. Step 4: Simplify right side
    288,578.94x = 33,857,612,152.08
  5. Step 5: Solve for x
    x = 33,857,612,152.08/288,578.94
  6. Step 6: Final answer
    x = 117,325.31

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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.