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Finding the Fourth Proportional to 268,506.48, 402,702.97 and 78,915.41

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Solution

The fourth proportional to 268,506.48, 402,702.97 and 78,915.41 is: 118,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,506.48 : 402,702.97 = 78,915.41 : x
  2. Step 2: Convert to fraction form
    268,506.48/402,702.97 = 78,915.41/x
  3. Step 3: Cross multiply
    268,506.48x = 402,702.97 × 78,915.41
  4. Step 4: Simplify right side
    268,506.48x = 31,779,469,985.77
  5. Step 5: Solve for x
    x = 31,779,469,985.77/268,506.48
  6. Step 6: Final answer
    x = 118,356.44

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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.