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Finding the Fourth Proportional to 275,477.10, 413,118.45 and 97,989.90

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Solution

The fourth proportional to 275,477.10, 413,118.45 and 97,989.90 is: 146,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,477.10 : 413,118.45 = 97,989.90 : x
  2. Step 2: Convert to fraction form
    275,477.10/413,118.45 = 97,989.90/x
  3. Step 3: Cross multiply
    275,477.10x = 413,118.45 × 97,989.90
  4. Step 4: Simplify right side
    275,477.10x = 40,481,435,603.66
  5. Step 5: Solve for x
    x = 40,481,435,603.66/275,477.10
  6. Step 6: Final answer
    x = 146,950.28

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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.