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Finding the Fourth Proportional to 405,877.80, 560,045.94 and 254,867.88

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Solution

The fourth proportional to 405,877.80, 560,045.94 and 254,867.88 is: 351,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,877.80 : 560,045.94 = 254,867.88 : x
  2. Step 2: Convert to fraction form
    405,877.80/560,045.94 = 254,867.88/x
  3. Step 3: Cross multiply
    405,877.80x = 560,045.94 × 254,867.88
  4. Step 4: Simplify right side
    405,877.80x = 142,737,721,430.41
  5. Step 5: Solve for x
    x = 142,737,721,430.41/405,877.80
  6. Step 6: Final answer
    x = 351,676.59

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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.