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Finding the Fourth Proportional to 305,039.77, 457,619.50 and 112,915.87

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Solution

The fourth proportional to 305,039.77, 457,619.50 and 112,915.87 is: 169,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,039.77 : 457,619.50 = 112,915.87 : x
  2. Step 2: Convert to fraction form
    305,039.77/457,619.50 = 112,915.87/x
  3. Step 3: Cross multiply
    305,039.77x = 457,619.50 × 112,915.87
  4. Step 4: Simplify right side
    305,039.77x = 51,672,502,968.56
  5. Step 5: Solve for x
    x = 51,672,502,968.56/305,039.77
  6. Step 6: Final answer
    x = 169,395.96

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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.