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Finding the Fourth Proportional to 305,611.76, 458,420.80 and 92,381.44

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Solution

The fourth proportional to 305,611.76, 458,420.80 and 92,381.44 is: 138,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,611.76 : 458,420.80 = 92,381.44 : x
  2. Step 2: Convert to fraction form
    305,611.76/458,420.80 = 92,381.44/x
  3. Step 3: Cross multiply
    305,611.76x = 458,420.80 × 92,381.44
  4. Step 4: Simplify right side
    305,611.76x = 42,349,573,629.95
  5. Step 5: Solve for x
    x = 42,349,573,629.95/305,611.76
  6. Step 6: Final answer
    x = 138,573.12

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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.