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Finding the Fourth Proportional to 268,455.46, 402,683.28 and 78,915.82

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Solution

The fourth proportional to 268,455.46, 402,683.28 and 78,915.82 is: 118,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,455.46 : 402,683.28 = 78,915.82 : x
  2. Step 2: Convert to fraction form
    268,455.46/402,683.28 = 78,915.82/x
  3. Step 3: Cross multiply
    268,455.46x = 402,683.28 × 78,915.82
  4. Step 4: Simplify right side
    268,455.46x = 31,778,081,241.49
  5. Step 5: Solve for x
    x = 31,778,081,241.49/268,455.46
  6. Step 6: Final answer
    x = 118,373.76

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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.