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Finding the Fourth Proportional to 277,347.98, 415,978.20 and 99,763.58

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Solution

The fourth proportional to 277,347.98, 415,978.20 and 99,763.58 is: 149,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,347.98 : 415,978.20 = 99,763.58 : x
  2. Step 2: Convert to fraction form
    277,347.98/415,978.20 = 99,763.58/x
  3. Step 3: Cross multiply
    277,347.98x = 415,978.20 × 99,763.58
  4. Step 4: Simplify right side
    277,347.98x = 41,499,472,354.07
  5. Step 5: Solve for x
    x = 41,499,472,354.07/277,347.98
  6. Step 6: Final answer
    x = 149,629.62

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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.