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Finding the Fourth Proportional to 286,989.88, 430,495.68 and 146,584.48

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Solution

The fourth proportional to 286,989.88, 430,495.68 and 146,584.48 is: 219,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,989.88 : 430,495.68 = 146,584.48 : x
  2. Step 2: Convert to fraction form
    286,989.88/430,495.68 = 146,584.48/x
  3. Step 3: Cross multiply
    286,989.88x = 430,495.68 × 146,584.48
  4. Step 4: Simplify right side
    286,989.88x = 63,103,985,395.05
  5. Step 5: Solve for x
    x = 63,103,985,395.05/286,989.88
  6. Step 6: Final answer
    x = 219,882.27

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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.