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Finding the Fourth Proportional to 305,314.29, 457,859.12 and 105,583.41

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Solution

The fourth proportional to 305,314.29, 457,859.12 and 105,583.41 is: 158,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,314.29 : 457,859.12 = 105,583.41 : x
  2. Step 2: Convert to fraction form
    305,314.29/457,859.12 = 105,583.41/x
  3. Step 3: Cross multiply
    305,314.29x = 457,859.12 × 105,583.41
  4. Step 4: Simplify right side
    305,314.29x = 48,342,326,661.28
  5. Step 5: Solve for x
    x = 48,342,326,661.28/305,314.29
  6. Step 6: Final answer
    x = 158,336.27

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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.