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Finding the Fourth Proportional to 285,111, 393,436.80 and 157,779

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Solution

The fourth proportional to 285,111, 393,436.80 and 157,779 is: 217,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,111 : 393,436.80 = 157,779 : x
  2. Step 2: Convert to fraction form
    285,111/393,436.80 = 157,779/x
  3. Step 3: Cross multiply
    285,111x = 393,436.80 × 157,779
  4. Step 4: Simplify right side
    285,111x = 62,076,064,867.20
  5. Step 5: Solve for x
    x = 62,076,064,867.20/285,111
  6. Step 6: Final answer
    x = 217,725.96

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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.