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Finding the Fourth Proportional to 228,422.63, 315,366.21 and 146,783.94

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Solution

The fourth proportional to 228,422.63, 315,366.21 and 146,783.94 is: 202,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,422.63 : 315,366.21 = 146,783.94 : x
  2. Step 2: Convert to fraction form
    228,422.63/315,366.21 = 146,783.94/x
  3. Step 3: Cross multiply
    228,422.63x = 315,366.21 × 146,783.94
  4. Step 4: Simplify right side
    228,422.63x = 46,290,694,846.67
  5. Step 5: Solve for x
    x = 46,290,694,846.67/228,422.63
  6. Step 6: Final answer
    x = 202,653.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.