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Finding the Fourth Proportional to 276,307.60, 414,484.80 and 76,627.96

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Solution

The fourth proportional to 276,307.60, 414,484.80 and 76,627.96 is: 114,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,307.60 : 414,484.80 = 76,627.96 : x
  2. Step 2: Convert to fraction form
    276,307.60/414,484.80 = 76,627.96/x
  3. Step 3: Cross multiply
    276,307.60x = 414,484.80 × 76,627.96
  4. Step 4: Simplify right side
    276,307.60x = 31,761,124,675.01
  5. Step 5: Solve for x
    x = 31,761,124,675.01/276,307.60
  6. Step 6: Final answer
    x = 114,948.43

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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.