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Finding the Fourth Proportional to 287,095.89, 430,484.67 and 116,163.21

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Solution

The fourth proportional to 287,095.89, 430,484.67 and 116,163.21 is: 174,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,095.89 : 430,484.67 = 116,163.21 : x
  2. Step 2: Convert to fraction form
    287,095.89/430,484.67 = 116,163.21/x
  3. Step 3: Cross multiply
    287,095.89x = 430,484.67 × 116,163.21
  4. Step 4: Simplify right side
    287,095.89x = 50,006,481,122.99
  5. Step 5: Solve for x
    x = 50,006,481,122.99/287,095.89
  6. Step 6: Final answer
    x = 174,180.41

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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.