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Finding the Fourth Proportional to 305,033.32, 457,393.98 and 127,491.88

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Solution

The fourth proportional to 305,033.32, 457,393.98 and 127,491.88 is: 191,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,033.32 : 457,393.98 = 127,491.88 : x
  2. Step 2: Convert to fraction form
    305,033.32/457,393.98 = 127,491.88/x
  3. Step 3: Cross multiply
    305,033.32x = 457,393.98 × 127,491.88
  4. Step 4: Simplify right side
    305,033.32x = 58,314,018,410.88
  5. Step 5: Solve for x
    x = 58,314,018,410.88/305,033.32
  6. Step 6: Final answer
    x = 191,172.62

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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.