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Finding the Fourth Proportional to 456,827.80, 685,915.31 and 254,818.58

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Solution

The fourth proportional to 456,827.80, 685,915.31 and 254,818.58 is: 382,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,827.80 : 685,915.31 = 254,818.58 : x
  2. Step 2: Convert to fraction form
    456,827.80/685,915.31 = 254,818.58/x
  3. Step 3: Cross multiply
    456,827.80x = 685,915.31 × 254,818.58
  4. Step 4: Simplify right side
    456,827.80x = 174,783,965,294.46
  5. Step 5: Solve for x
    x = 174,783,965,294.46/456,827.80
  6. Step 6: Final answer
    x = 382,603.61

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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.